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Simplifying -2x + 5x = 4(x + 3) + -1(x + 12) Combine like terms: -2x + 5x = 3x 3x = 4(x + 3) + -1(x + 12) Reorder the terms: 3x = 4(3 + x) + -1(x + 12) 3x = (3 * 4 + x * 4) + -1(x + 12) 3x = (12 + 4x) + -1(x + 12) Reorder the terms: 3x = 12 + 4x + -1(12 + x) 3x = 12 + 4x + (12 * -1 + x * -1) 3x = 12 + 4x + (-12 + -1x) Reorder the terms: 3x = 12 + -12 + 4x + -1x Combine like terms: 12 + -12 = 0 3x = 0 + 4x + -1x 3x = 4x + -1x Combine like terms: 4x + -1x = 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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