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Simplifying 3x + -1(2x + 5) + 8 = 9x + -4(2x + 7) + 31 Reorder the terms: 3x + -1(5 + 2x) + 8 = 9x + -4(2x + 7) + 31 3x + (5 * -1 + 2x * -1) + 8 = 9x + -4(2x + 7) + 31 3x + (-5 + -2x) + 8 = 9x + -4(2x + 7) + 31 Reorder the terms: -5 + 8 + 3x + -2x = 9x + -4(2x + 7) + 31 Combine like terms: -5 + 8 = 3 3 + 3x + -2x = 9x + -4(2x + 7) + 31 Combine like terms: 3x + -2x = 1x 3 + 1x = 9x + -4(2x + 7) + 31 Reorder the terms: 3 + 1x = 9x + -4(7 + 2x) + 31 3 + 1x = 9x + (7 * -4 + 2x * -4) + 31 3 + 1x = 9x + (-28 + -8x) + 31 Reorder the terms: 3 + 1x = -28 + 31 + 9x + -8x Combine like terms: -28 + 31 = 3 3 + 1x = 3 + 9x + -8x Combine like terms: 9x + -8x = 1x 3 + 1x = 3 + 1x Add '-3' to each side of the equation. 3 + -3 + 1x = 3 + -3 + 1x Combine like terms: 3 + -3 = 0 0 + 1x = 3 + -3 + 1x 1x = 3 + -3 + 1x Combine like terms: 3 + -3 = 0 1x = 0 + 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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