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Simplifying -6 + 12 = 3x + -2(x + -7) Combine like terms: -6 + 12 = 6 6 = 3x + -2(x + -7) Reorder the terms: 6 = 3x + -2(-7 + x) 6 = 3x + (-7 * -2 + x * -2) 6 = 3x + (14 + -2x) Reorder the terms: 6 = 14 + 3x + -2x Combine like terms: 3x + -2x = 1x 6 = 14 + 1x Solving 6 = 14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -1x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -1x = 14 + 0 6 + -1x = 14 Add '-6' to each side of the equation. 6 + -6 + -1x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 14 + -6 -1x = 14 + -6 Combine like terms: 14 + -6 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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