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Simplifying 8[x + -1(5x + -8)] = 2 + -3x Reorder the terms: 8[x + -1(-8 + 5x)] = 2 + -3x 8[x + (-8 * -1 + 5x * -1)] = 2 + -3x 8[x + (8 + -5x)] = 2 + -3x Reorder the terms: 8[8 + x + -5x] = 2 + -3x Combine like terms: x + -5x = -4x 8[8 + -4x] = 2 + -3x [8 * 8 + -4x * 8] = 2 + -3x [64 + -32x] = 2 + -3x Solving 64 + -32x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 64 + -32x + 3x = 2 + -3x + 3x Combine like terms: -32x + 3x = -29x 64 + -29x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 64 + -29x = 2 + 0 64 + -29x = 2 Add '-64' to each side of the equation. 64 + -64 + -29x = 2 + -64 Combine like terms: 64 + -64 = 0 0 + -29x = 2 + -64 -29x = 2 + -64 Combine like terms: 2 + -64 = -62 -29x = -62 Divide each side by '-29'. x = 2.137931034 Simplifying x = 2.137931034
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