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Simplifying 8[3 + -1(5 + 4x)] + -2x = -18 + 2(1 + -17x) 8[3 + (5 * -1 + 4x * -1)] + -2x = -18 + 2(1 + -17x) 8[3 + (-5 + -4x)] + -2x = -18 + 2(1 + -17x) Combine like terms: 3 + -5 = -2 8[-2 + -4x] + -2x = -18 + 2(1 + -17x) [-2 * 8 + -4x * 8] + -2x = -18 + 2(1 + -17x) [-16 + -32x] + -2x = -18 + 2(1 + -17x) Combine like terms: -32x + -2x = -34x -16 + -34x = -18 + 2(1 + -17x) -16 + -34x = -18 + (1 * 2 + -17x * 2) -16 + -34x = -18 + (2 + -34x) Combine like terms: -18 + 2 = -16 -16 + -34x = -16 + -34x Add '16' to each side of the equation. -16 + 16 + -34x = -16 + 16 + -34x Combine like terms: -16 + 16 = 0 0 + -34x = -16 + 16 + -34x -34x = -16 + 16 + -34x Combine like terms: -16 + 16 = 0 -34x = 0 + -34x -34x = -34x Add '34x' to each side of the equation. -34x + 34x = -34x + 34x Combine like terms: -34x + 34x = 0 0 = -34x + 34x Combine like terms: -34x + 34x = 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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