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Simplifying 8[2 + -1(5 + 4x)] + -2x = -26 + 2(1 + -17x) 8[2 + (5 * -1 + 4x * -1)] + -2x = -26 + 2(1 + -17x) 8[2 + (-5 + -4x)] + -2x = -26 + 2(1 + -17x) Combine like terms: 2 + -5 = -3 8[-3 + -4x] + -2x = -26 + 2(1 + -17x) [-3 * 8 + -4x * 8] + -2x = -26 + 2(1 + -17x) [-24 + -32x] + -2x = -26 + 2(1 + -17x) Combine like terms: -32x + -2x = -34x -24 + -34x = -26 + 2(1 + -17x) -24 + -34x = -26 + (1 * 2 + -17x * 2) -24 + -34x = -26 + (2 + -34x) Combine like terms: -26 + 2 = -24 -24 + -34x = -24 + -34x Add '24' to each side of the equation. -24 + 24 + -34x = -24 + 24 + -34x Combine like terms: -24 + 24 = 0 0 + -34x = -24 + 24 + -34x -34x = -24 + 24 + -34x Combine like terms: -24 + 24 = 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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