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Simplifying 8[3 + -1(4 + 2x)] + -4 = -10 + 2(1 + -10x) 8[3 + (4 * -1 + 2x * -1)] + -4 = -10 + 2(1 + -10x) 8[3 + (-4 + -2x)] + -4 = -10 + 2(1 + -10x) Combine like terms: 3 + -4 = -1 8[-1 + -2x] + -4 = -10 + 2(1 + -10x) [-1 * 8 + -2x * 8] + -4 = -10 + 2(1 + -10x) [-8 + -16x] + -4 = -10 + 2(1 + -10x) Reorder the terms: -8 + -4 + -16x = -10 + 2(1 + -10x) Combine like terms: -8 + -4 = -12 -12 + -16x = -10 + 2(1 + -10x) -12 + -16x = -10 + (1 * 2 + -10x * 2) -12 + -16x = -10 + (2 + -20x) Combine like terms: -10 + 2 = -8 -12 + -16x = -8 + -20x Solving -12 + -16x = -8 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -12 + -16x + 20x = -8 + -20x + 20x Combine like terms: -16x + 20x = 4x -12 + 4x = -8 + -20x + 20x Combine like terms: -20x + 20x = 0 -12 + 4x = -8 + 0 -12 + 4x = -8 Add '12' to each side of the equation. -12 + 12 + 4x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -8 + 12 4x = -8 + 12 Combine like terms: -8 + 12 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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