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Simplifying 7(7 + -1x) = 1.5(5 + -1x) (7 * 7 + -1x * 7) = 1.5(5 + -1x) (49 + -7x) = 1.5(5 + -1x) 49 + -7x = (5 * 1.5 + -1x * 1.5) 49 + -7x = (7.5 + -1.5x) Solving 49 + -7x = 7.5 + -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. 49 + -7x + 1.5x = 7.5 + -1.5x + 1.5x Combine like terms: -7x + 1.5x = -5.5x 49 + -5.5x = 7.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 49 + -5.5x = 7.5 + 0.0 49 + -5.5x = 7.5 Add '-49' to each side of the equation. 49 + -49 + -5.5x = 7.5 + -49 Combine like terms: 49 + -49 = 0 0 + -5.5x = 7.5 + -49 -5.5x = 7.5 + -49 Combine like terms: 7.5 + -49 = -41.5 -5.5x = -41.5 Divide each side by '-5.5'. x = 7.545454545 Simplifying x = 7.545454545
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