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Simplifying -1(x + -9) + 7 = 5x + -14 Reorder the terms: -1(-9 + x) + 7 = 5x + -14 (-9 * -1 + x * -1) + 7 = 5x + -14 (9 + -1x) + 7 = 5x + -14 Reorder the terms: 9 + 7 + -1x = 5x + -14 Combine like terms: 9 + 7 = 16 16 + -1x = 5x + -14 Reorder the terms: 16 + -1x = -14 + 5x Solving 16 + -1x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + -1x + -5x = -14 + 5x + -5x Combine like terms: -1x + -5x = -6x 16 + -6x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -6x = -14 + 0 16 + -6x = -14 Add '-16' to each side of the equation. 16 + -16 + -6x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = -14 + -16 -6x = -14 + -16 Combine like terms: -14 + -16 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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