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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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