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Simplifying 12 + -1(6x + 7) = 9 + -5x Reorder the terms: 12 + -1(7 + 6x) = 9 + -5x 12 + (7 * -1 + 6x * -1) = 9 + -5x 12 + (-7 + -6x) = 9 + -5x Combine like terms: 12 + -7 = 5 5 + -6x = 9 + -5x Solving 5 + -6x = 9 + -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. 5 + -6x + 5x = 9 + -5x + 5x Combine like terms: -6x + 5x = -1x 5 + -1x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + -1x = 9 + 0 5 + -1x = 9 Add '-5' to each side of the equation. 5 + -5 + -1x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 9 + -5 -1x = 9 + -5 Combine like terms: 9 + -5 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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