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Simplifying 7(5 + -1x) = 1.5(3 + -1x) (5 * 7 + -1x * 7) = 1.5(3 + -1x) (35 + -7x) = 1.5(3 + -1x) 35 + -7x = (3 * 1.5 + -1x * 1.5) 35 + -7x = (4.5 + -1.5x) Solving 35 + -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. 35 + -7x + 1.5x = 4.5 + -1.5x + 1.5x Combine like terms: -7x + 1.5x = -5.5x 35 + -5.5x = 4.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 35 + -5.5x = 4.5 + 0.0 35 + -5.5x = 4.5 Add '-35' to each side of the equation. 35 + -35 + -5.5x = 4.5 + -35 Combine like terms: 35 + -35 = 0 0 + -5.5x = 4.5 + -35 -5.5x = 4.5 + -35 Combine like terms: 4.5 + -35 = -30.5 -5.5x = -30.5 Divide each side by '-5.5'. x = 5.545454545 Simplifying x = 5.545454545
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