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Simplifying -3x + 5x = 3(x + 3) + -1(x + 9) Combine like terms: -3x + 5x = 2x 2x = 3(x + 3) + -1(x + 9) Reorder the terms: 2x = 3(3 + x) + -1(x + 9) 2x = (3 * 3 + x * 3) + -1(x + 9) 2x = (9 + 3x) + -1(x + 9) Reorder the terms: 2x = 9 + 3x + -1(9 + x) 2x = 9 + 3x + (9 * -1 + x * -1) 2x = 9 + 3x + (-9 + -1x) Reorder the terms: 2x = 9 + -9 + 3x + -1x Combine like terms: 9 + -9 = 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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