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Simplifying 3x + -12 + -4x + 12 = x + 3 + -1(x + -6) Reorder the terms: -12 + 12 + 3x + -4x = x + 3 + -1(x + -6) Combine like terms: -12 + 12 = 0 0 + 3x + -4x = x + 3 + -1(x + -6) 3x + -4x = x + 3 + -1(x + -6) Combine like terms: 3x + -4x = -1x -1x = x + 3 + -1(x + -6) Reorder the terms: -1x = x + 3 + -1(-6 + x) -1x = x + 3 + (-6 * -1 + x * -1) -1x = x + 3 + (6 + -1x) Reorder the terms: -1x = 3 + 6 + x + -1x Combine like terms: 3 + 6 = 9 -1x = 9 + x + -1x Combine like terms: x + -1x = 0 -1x = 9 + 0 -1x = 9 Solving -1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -9 Simplifying x = -9
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