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Simplifying -4x + 5x = 2(x + 7) + -1(x + 14) Combine like terms: -4x + 5x = 1x 1x = 2(x + 7) + -1(x + 14) Reorder the terms: 1x = 2(7 + x) + -1(x + 14) 1x = (7 * 2 + x * 2) + -1(x + 14) 1x = (14 + 2x) + -1(x + 14) Reorder the terms: 1x = 14 + 2x + -1(14 + x) 1x = 14 + 2x + (14 * -1 + x * -1) 1x = 14 + 2x + (-14 + -1x) Reorder the terms: 1x = 14 + -14 + 2x + -1x Combine like terms: 14 + -14 = 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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