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Simplifying 8[2 + -1(3 + 2x)] + -2x = -10 + 2(1 + -9x) 8[2 + (3 * -1 + 2x * -1)] + -2x = -10 + 2(1 + -9x) 8[2 + (-3 + -2x)] + -2x = -10 + 2(1 + -9x) Combine like terms: 2 + -3 = -1 8[-1 + -2x] + -2x = -10 + 2(1 + -9x) [-1 * 8 + -2x * 8] + -2x = -10 + 2(1 + -9x) [-8 + -16x] + -2x = -10 + 2(1 + -9x) Combine like terms: -16x + -2x = -18x -8 + -18x = -10 + 2(1 + -9x) -8 + -18x = -10 + (1 * 2 + -9x * 2) -8 + -18x = -10 + (2 + -18x) Combine like terms: -10 + 2 = -8 -8 + -18x = -8 + -18x Add '8' to each side of the equation. -8 + 8 + -18x = -8 + 8 + -18x Combine like terms: -8 + 8 = 0 0 + -18x = -8 + 8 + -18x -18x = -8 + 8 + -18x Combine like terms: -8 + 8 = 0 -18x = 0 + -18x -18x = -18x Add '18x' to each side of the equation. -18x + 18x = -18x + 18x Combine like terms: -18x + 18x = 0 0 = -18x + 18x Combine like terms: -18x + 18x = 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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