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Simplifying 5(x + 7) + -7x = 9(x + -1) Reorder the terms: 5(7 + x) + -7x = 9(x + -1) (7 * 5 + x * 5) + -7x = 9(x + -1) (35 + 5x) + -7x = 9(x + -1) Combine like terms: 5x + -7x = -2x 35 + -2x = 9(x + -1) Reorder the terms: 35 + -2x = 9(-1 + x) 35 + -2x = (-1 * 9 + x * 9) 35 + -2x = (-9 + 9x) Solving 35 + -2x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + -2x + -9x = -9 + 9x + -9x Combine like terms: -2x + -9x = -11x 35 + -11x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + -11x = -9 + 0 35 + -11x = -9 Add '-35' to each side of the equation. 35 + -35 + -11x = -9 + -35 Combine like terms: 35 + -35 = 0 0 + -11x = -9 + -35 -11x = -9 + -35 Combine like terms: -9 + -35 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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