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Simplifying (2 + -1x) + -3(6 + -3x) = 8(x + -2) Remove parenthesis around (2 + -1x) 2 + -1x + -3(6 + -3x) = 8(x + -2) 2 + -1x + (6 * -3 + -3x * -3) = 8(x + -2) 2 + -1x + (-18 + 9x) = 8(x + -2) Reorder the terms: 2 + -18 + -1x + 9x = 8(x + -2) Combine like terms: 2 + -18 = -16 -16 + -1x + 9x = 8(x + -2) Combine like terms: -1x + 9x = 8x -16 + 8x = 8(x + -2) Reorder the terms: -16 + 8x = 8(-2 + x) -16 + 8x = (-2 * 8 + x * 8) -16 + 8x = (-16 + 8x) Add '16' to each side of the equation. -16 + 16 + 8x = -16 + 16 + 8x Combine like terms: -16 + 16 = 0 0 + 8x = -16 + 16 + 8x 8x = -16 + 16 + 8x Combine like terms: -16 + 16 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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