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Simplifying -2(x + -7) + -9 = 7(-2x + -1) Reorder the terms: -2(-7 + x) + -9 = 7(-2x + -1) (-7 * -2 + x * -2) + -9 = 7(-2x + -1) (14 + -2x) + -9 = 7(-2x + -1) Reorder the terms: 14 + -9 + -2x = 7(-2x + -1) Combine like terms: 14 + -9 = 5 5 + -2x = 7(-2x + -1) Reorder the terms: 5 + -2x = 7(-1 + -2x) 5 + -2x = (-1 * 7 + -2x * 7) 5 + -2x = (-7 + -14x) Solving 5 + -2x = -7 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 5 + -2x + 14x = -7 + -14x + 14x Combine like terms: -2x + 14x = 12x 5 + 12x = -7 + -14x + 14x Combine like terms: -14x + 14x = 0 5 + 12x = -7 + 0 5 + 12x = -7 Add '-5' to each side of the equation. 5 + -5 + 12x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -7 + -5 12x = -7 + -5 Combine like terms: -7 + -5 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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