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Simplifying -2x + 6 = x + 12 Reorder the terms: 6 + -2x = x + 12 Reorder the terms: 6 + -2x = 12 + x Solving 6 + -2x = 12 + x 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 + -2x + -1x = 12 + x + -1x Combine like terms: -2x + -1x = -3x 6 + -3x = 12 + x + -1x Combine like terms: x + -1x = 0 6 + -3x = 12 + 0 6 + -3x = 12 Add '-6' to each side of the equation. 6 + -6 + -3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 12 + -6 -3x = 12 + -6 Combine like terms: 12 + -6 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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