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Simplifying 6(x + -2) + 3(4 + -2x) = 2x + 1 Reorder the terms: 6(-2 + x) + 3(4 + -2x) = 2x + 1 (-2 * 6 + x * 6) + 3(4 + -2x) = 2x + 1 (-12 + 6x) + 3(4 + -2x) = 2x + 1 -12 + 6x + (4 * 3 + -2x * 3) = 2x + 1 -12 + 6x + (12 + -6x) = 2x + 1 Reorder the terms: -12 + 12 + 6x + -6x = 2x + 1 Combine like terms: -12 + 12 = 0 0 + 6x + -6x = 2x + 1 6x + -6x = 2x + 1 Combine like terms: 6x + -6x = 0 0 = 2x + 1 Reorder the terms: 0 = 1 + 2x Solving 0 = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0 + -2x = 1 + 2x + -2x Remove the zero: -2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -2x = 1 + 0 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

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