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Simplifying -0.5(0.3x + -0.7) = 0.2x + 0.9 Reorder the terms: -0.5(-0.7 + 0.3x) = 0.2x + 0.9 (-0.7 * -0.5 + 0.3x * -0.5) = 0.2x + 0.9 (0.35 + -0.15x) = 0.2x + 0.9 Reorder the terms: 0.35 + -0.15x = 0.9 + 0.2x Solving 0.35 + -0.15x = 0.9 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.35 + -0.15x + -0.2x = 0.9 + 0.2x + -0.2x Combine like terms: -0.15x + -0.2x = -0.35x 0.35 + -0.35x = 0.9 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.35 + -0.35x = 0.9 + 0.0 0.35 + -0.35x = 0.9 Add '-0.35' to each side of the equation. 0.35 + -0.35 + -0.35x = 0.9 + -0.35 Combine like terms: 0.35 + -0.35 = 0.00 0.00 + -0.35x = 0.9 + -0.35 -0.35x = 0.9 + -0.35 Combine like terms: 0.9 + -0.35 = 0.55 -0.35x = 0.55 Divide each side by '-0.35'. x = -1.571428571 Simplifying x = -1.571428571

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