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Simplifying 8x + -4(2x + -5(3x + 1)) + -2(x + -1(x + -1)) = 0 Reorder the terms: 8x + -4(2x + -5(1 + 3x)) + -2(x + -1(x + -1)) = 0 8x + -4(2x + (1 * -5 + 3x * -5)) + -2(x + -1(x + -1)) = 0 8x + -4(2x + (-5 + -15x)) + -2(x + -1(x + -1)) = 0 Reorder the terms: 8x + -4(-5 + 2x + -15x) + -2(x + -1(x + -1)) = 0 Combine like terms: 2x + -15x = -13x 8x + -4(-5 + -13x) + -2(x + -1(x + -1)) = 0 8x + (-5 * -4 + -13x * -4) + -2(x + -1(x + -1)) = 0 8x + (20 + 52x) + -2(x + -1(x + -1)) = 0 Reorder the terms: 8x + 20 + 52x + -2(x + -1(-1 + x)) = 0 8x + 20 + 52x + -2(x + (-1 * -1 + x * -1)) = 0 8x + 20 + 52x + -2(x + (1 + -1x)) = 0 Reorder the terms: 8x + 20 + 52x + -2(1 + x + -1x) = 0 Combine like terms: x + -1x = 0 8x + 20 + 52x + -2(1 + 0) = 0 8x + 20 + 52x + -2(1) = 0 Multiply -2 * 1 8x + 20 + 52x + -2 = 0 Reorder the terms: 20 + -2 + 8x + 52x = 0 Combine like terms: 20 + -2 = 18 18 + 8x + 52x = 0 Combine like terms: 8x + 52x = 60x 18 + 60x = 0 Solving 18 + 60x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 60x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 60x = 0 + -18 60x = 0 + -18 Combine like terms: 0 + -18 = -18 60x = -18 Divide each side by '60'. x = -0.3 Simplifying x = -0.3
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