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Simplifying -7x + -12 = -2 + -6(1 + x) Reorder the terms: -12 + -7x = -2 + -6(1 + x) -12 + -7x = -2 + (1 * -6 + x * -6) -12 + -7x = -2 + (-6 + -6x) Combine like terms: -2 + -6 = -8 -12 + -7x = -8 + -6x Solving -12 + -7x = -8 + -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 + -7x + 6x = -8 + -6x + 6x Combine like terms: -7x + 6x = -1x -12 + -1x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + -1x = -8 + 0 -12 + -1x = -8 Add '12' to each side of the equation. -12 + 12 + -1x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -8 + 12 -1x = -8 + 12 Combine like terms: -8 + 12 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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