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Simplifying 5(2x + 7) = -1(9 + -1x) Reorder the terms: 5(7 + 2x) = -1(9 + -1x) (7 * 5 + 2x * 5) = -1(9 + -1x) (35 + 10x) = -1(9 + -1x) 35 + 10x = (9 * -1 + -1x * -1) 35 + 10x = (-9 + 1x) Solving 35 + 10x = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 35 + 10x + -1x = -9 + 1x + -1x Combine like terms: 10x + -1x = 9x 35 + 9x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 35 + 9x = -9 + 0 35 + 9x = -9 Add '-35' to each side of the equation. 35 + -35 + 9x = -9 + -35 Combine like terms: 35 + -35 = 0 0 + 9x = -9 + -35 9x = -9 + -35 Combine like terms: -9 + -35 = -44 9x = -44 Divide each side by '9'. x = -4.888888889 Simplifying x = -4.888888889
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