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Simplifying 1.7(5 + -1x) = 1.5(3 + -1x) (5 * 1.7 + -1x * 1.7) = 1.5(3 + -1x) (8.5 + -1.7x) = 1.5(3 + -1x) 8.5 + -1.7x = (3 * 1.5 + -1x * 1.5) 8.5 + -1.7x = (4.5 + -1.5x) Solving 8.5 + -1.7x = 4.5 + -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. 8.5 + -1.7x + 1.5x = 4.5 + -1.5x + 1.5x Combine like terms: -1.7x + 1.5x = -0.2x 8.5 + -0.2x = 4.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 8.5 + -0.2x = 4.5 + 0.0 8.5 + -0.2x = 4.5 Add '-8.5' to each side of the equation. 8.5 + -8.5 + -0.2x = 4.5 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -0.2x = 4.5 + -8.5 -0.2x = 4.5 + -8.5 Combine like terms: 4.5 + -8.5 = -4 -0.2x = -4 Divide each side by '-0.2'. x = 20 Simplifying x = 20
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