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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 = 12 -8 + -20x = 12 + -20x Add '20x' to each side of the equation. -8 + -20x + 20x = 12 + -20x + 20x Combine like terms: -20x + 20x = 0 -8 + 0 = 12 + -20x + 20x -8 = 12 + -20x + 20x Combine like terms: -20x + 20x = 0 -8 = 12 + 0 -8 = 12 Solving -8 = 12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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