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Simplifying 8[3 + -1(4 + 4x)] + -2x = -10 + 2(1 + -17x) 8[3 + (4 * -1 + 4x * -1)] + -2x = -10 + 2(1 + -17x) 8[3 + (-4 + -4x)] + -2x = -10 + 2(1 + -17x) Combine like terms: 3 + -4 = -1 8[-1 + -4x] + -2x = -10 + 2(1 + -17x) [-1 * 8 + -4x * 8] + -2x = -10 + 2(1 + -17x) [-8 + -32x] + -2x = -10 + 2(1 + -17x) Combine like terms: -32x + -2x = -34x -8 + -34x = -10 + 2(1 + -17x) -8 + -34x = -10 + (1 * 2 + -17x * 2) -8 + -34x = -10 + (2 + -34x) Combine like terms: -10 + 2 = -8 -8 + -34x = -8 + -34x Add '8' to each side of the equation. -8 + 8 + -34x = -8 + 8 + -34x Combine like terms: -8 + 8 = 0 0 + -34x = -8 + 8 + -34x -34x = -8 + 8 + -34x Combine like terms: -8 + 8 = 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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