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Simplifying 1.5(5 + -1x) = 1.3(3 + -1x) (5 * 1.5 + -1x * 1.5) = 1.3(3 + -1x) (7.5 + -1.5x) = 1.3(3 + -1x) 7.5 + -1.5x = (3 * 1.3 + -1x * 1.3) 7.5 + -1.5x = (3.9 + -1.3x) Solving 7.5 + -1.5x = 3.9 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 7.5 + -1.5x + 1.3x = 3.9 + -1.3x + 1.3x Combine like terms: -1.5x + 1.3x = -0.2x 7.5 + -0.2x = 3.9 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 7.5 + -0.2x = 3.9 + 0.0 7.5 + -0.2x = 3.9 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.2x = 3.9 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.2x = 3.9 + -7.5 -0.2x = 3.9 + -7.5 Combine like terms: 3.9 + -7.5 = -3.6 -0.2x = -3.6 Divide each side by '-0.2'. x = 18 Simplifying x = 18
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