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