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Simplifying 9 + -5x = 12 + -1(6x + 7) Reorder the terms: 9 + -5x = 12 + -1(7 + 6x) 9 + -5x = 12 + (7 * -1 + 6x * -1) 9 + -5x = 12 + (-7 + -6x) Combine like terms: 12 + -7 = 5 9 + -5x = 5 + -6x Solving 9 + -5x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + -5x + 6x = 5 + -6x + 6x Combine like terms: -5x + 6x = 1x 9 + 1x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 1x = 5 + 0 9 + 1x = 5 Add '-9' to each side of the equation. 9 + -9 + 1x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 5 + -9 1x = 5 + -9 Combine like terms: 5 + -9 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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