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Simplifying 2(-3x + 6) = x + 12 Reorder the terms: 2(6 + -3x) = x + 12 (6 * 2 + -3x * 2) = x + 12 (12 + -6x) = x + 12 Reorder the terms: 12 + -6x = 12 + x Add '-12' to each side of the equation. 12 + -12 + -6x = 12 + -12 + x Combine like terms: 12 + -12 = 0 0 + -6x = 12 + -12 + x -6x = 12 + -12 + x Combine like terms: 12 + -12 = 0 -6x = 0 + x -6x = x Solving -6x = 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. -6x + -1x = x + -1x Combine like terms: -6x + -1x = -7x -7x = x + -1x Combine like terms: x + -1x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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