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Simplifying 3x + -12 + -4x + 12 = x + 3 + -1(x + 2) Reorder the terms: -12 + 12 + 3x + -4x = x + 3 + -1(x + 2) Combine like terms: -12 + 12 = 0 0 + 3x + -4x = x + 3 + -1(x + 2) 3x + -4x = x + 3 + -1(x + 2) Combine like terms: 3x + -4x = -1x -1x = x + 3 + -1(x + 2) Reorder the terms: -1x = x + 3 + -1(2 + x) -1x = x + 3 + (2 * -1 + x * -1) -1x = x + 3 + (-2 + -1x) Reorder the terms: -1x = 3 + -2 + x + -1x Combine like terms: 3 + -2 = 1 -1x = 1 + x + -1x Combine like terms: x + -1x = 0 -1x = 1 + 0 -1x = 1 Solving -1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -1 Simplifying x = -1
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