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Simplifying 1.5(7 + -1x) = 1.3(5 + -1x) (7 * 1.5 + -1x * 1.5) = 1.3(5 + -1x) (10.5 + -1.5x) = 1.3(5 + -1x) 10.5 + -1.5x = (5 * 1.3 + -1x * 1.3) 10.5 + -1.5x = (6.5 + -1.3x) Solving 10.5 + -1.5x = 6.5 + -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. 10.5 + -1.5x + 1.3x = 6.5 + -1.3x + 1.3x Combine like terms: -1.5x + 1.3x = -0.2x 10.5 + -0.2x = 6.5 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 10.5 + -0.2x = 6.5 + 0.0 10.5 + -0.2x = 6.5 Add '-10.5' to each side of the equation. 10.5 + -10.5 + -0.2x = 6.5 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -0.2x = 6.5 + -10.5 -0.2x = 6.5 + -10.5 Combine like terms: 6.5 + -10.5 = -4 -0.2x = -4 Divide each side by '-0.2'. x = 20 Simplifying x = 20
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