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Simplifying 8[4 + -1(5 + 2x)] + -4x = -10 + 2(1 + -10x) 8[4 + (5 * -1 + 2x * -1)] + -4x = -10 + 2(1 + -10x) 8[4 + (-5 + -2x)] + -4x = -10 + 2(1 + -10x) Combine like terms: 4 + -5 = -1 8[-1 + -2x] + -4x = -10 + 2(1 + -10x) [-1 * 8 + -2x * 8] + -4x = -10 + 2(1 + -10x) [-8 + -16x] + -4x = -10 + 2(1 + -10x) Combine like terms: -16x + -4x = -20x -8 + -20x = -10 + 2(1 + -10x) -8 + -20x = -10 + (1 * 2 + -10x * 2) -8 + -20x = -10 + (2 + -20x) Combine like terms: -10 + 2 = -8 -8 + -20x = -8 + -20x Add '8' to each side of the equation. -8 + 8 + -20x = -8 + 8 + -20x Combine like terms: -8 + 8 = 0 0 + -20x = -8 + 8 + -20x -20x = -8 + 8 + -20x Combine like terms: -8 + 8 = 0 -20x = 0 + -20x -20x = -20x Add '20x' to each side of the equation. -20x + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 0 = -20x + 20x Combine like terms: -20x + 20x = 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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