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Simplifying -2x + 4x = 3(x + 4) + -1(x + 12) Combine like terms: -2x + 4x = 2x 2x = 3(x + 4) + -1(x + 12) Reorder the terms: 2x = 3(4 + x) + -1(x + 12) 2x = (4 * 3 + x * 3) + -1(x + 12) 2x = (12 + 3x) + -1(x + 12) Reorder the terms: 2x = 12 + 3x + -1(12 + x) 2x = 12 + 3x + (12 * -1 + x * -1) 2x = 12 + 3x + (-12 + -1x) Reorder the terms: 2x = 12 + -12 + 3x + -1x Combine like terms: 12 + -12 = 0 2x = 0 + 3x + -1x 2x = 3x + -1x Combine like terms: 3x + -1x = 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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