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Simplifying -12 + -5x = -9 + -1(6x + 7) Reorder the terms: -12 + -5x = -9 + -1(7 + 6x) -12 + -5x = -9 + (7 * -1 + 6x * -1) -12 + -5x = -9 + (-7 + -6x) Combine like terms: -9 + -7 = -16 -12 + -5x = -16 + -6x Solving -12 + -5x = -16 + -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. -12 + -5x + 6x = -16 + -6x + 6x Combine like terms: -5x + 6x = 1x -12 + 1x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 1x = -16 + 0 -12 + 1x = -16 Add '12' to each side of the equation. -12 + 12 + 1x = -16 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -16 + 12 1x = -16 + 12 Combine like terms: -16 + 12 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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