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Simplifying 1.5(7 + -1x) = 3(5 + -1x) (7 * 1.5 + -1x * 1.5) = 3(5 + -1x) (10.5 + -1.5x) = 3(5 + -1x) 10.5 + -1.5x = (5 * 3 + -1x * 3) 10.5 + -1.5x = (15 + -3x) Solving 10.5 + -1.5x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10.5 + -1.5x + 3x = 15 + -3x + 3x Combine like terms: -1.5x + 3x = 1.5x 10.5 + 1.5x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 10.5 + 1.5x = 15 + 0 10.5 + 1.5x = 15 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 1.5x = 15 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 1.5x = 15 + -10.5 1.5x = 15 + -10.5 Combine like terms: 15 + -10.5 = 4.5 1.5x = 4.5 Divide each side by '1.5'. x = 3 Simplifying x = 3
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