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Simplifying 2x + -12 = 6x + -1(x + -6) Reorder the terms: -12 + 2x = 6x + -1(x + -6) Reorder the terms: -12 + 2x = 6x + -1(-6 + x) -12 + 2x = 6x + (-6 * -1 + x * -1) -12 + 2x = 6x + (6 + -1x) Reorder the terms: -12 + 2x = 6 + 6x + -1x Combine like terms: 6x + -1x = 5x -12 + 2x = 6 + 5x Solving -12 + 2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 2x + -5x = 6 + 5x + -5x Combine like terms: 2x + -5x = -3x -12 + -3x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -3x = 6 + 0 -12 + -3x = 6 Add '12' to each side of the equation. -12 + 12 + -3x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 6 + 12 -3x = 6 + 12 Combine like terms: 6 + 12 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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