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Simplifying -1x + -12 + 2(x + 6) = 6(x + -7) Reorder the terms: -1x + -12 + 2(6 + x) = 6(x + -7) -1x + -12 + (6 * 2 + x * 2) = 6(x + -7) -1x + -12 + (12 + 2x) = 6(x + -7) Reorder the terms: -12 + 12 + -1x + 2x = 6(x + -7) Combine like terms: -12 + 12 = 0 0 + -1x + 2x = 6(x + -7) -1x + 2x = 6(x + -7) Combine like terms: -1x + 2x = 1x 1x = 6(x + -7) Reorder the terms: 1x = 6(-7 + x) 1x = (-7 * 6 + x * 6) 1x = (-42 + 6x) Solving 1x = -42 + 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. 1x + -6x = -42 + 6x + -6x Combine like terms: 1x + -6x = -5x -5x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -5x = -42 + 0 -5x = -42 Divide each side by '-5'. x = 8.4 Simplifying x = 8.4
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