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Simplifying 1.7(7 + -1x) = 1.5(5 + -1x) (7 * 1.7 + -1x * 1.7) = 1.5(5 + -1x) (11.9 + -1.7x) = 1.5(5 + -1x) 11.9 + -1.7x = (5 * 1.5 + -1x * 1.5) 11.9 + -1.7x = (7.5 + -1.5x) Solving 11.9 + -1.7x = 7.5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 11.9 + -1.7x + 1.5x = 7.5 + -1.5x + 1.5x Combine like terms: -1.7x + 1.5x = -0.2x 11.9 + -0.2x = 7.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 11.9 + -0.2x = 7.5 + 0.0 11.9 + -0.2x = 7.5 Add '-11.9' to each side of the equation. 11.9 + -11.9 + -0.2x = 7.5 + -11.9 Combine like terms: 11.9 + -11.9 = 0.0 0.0 + -0.2x = 7.5 + -11.9 -0.2x = 7.5 + -11.9 Combine like terms: 7.5 + -11.9 = -4.4 -0.2x = -4.4 Divide each side by '-0.2'. x = 22 Simplifying x = 22

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