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Simplifying 8[1 + -1(-2x + -3)] = 32x + 56 Reorder the terms: 8[1 + -1(-3 + -2x)] = 32x + 56 8[1 + (-3 * -1 + -2x * -1)] = 32x + 56 8[1 + (3 + 2x)] = 32x + 56 Combine like terms: 1 + 3 = 4 8[4 + 2x] = 32x + 56 [4 * 8 + 2x * 8] = 32x + 56 [32 + 16x] = 32x + 56 Reorder the terms: 32 + 16x = 56 + 32x Solving 32 + 16x = 56 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 32 + 16x + -32x = 56 + 32x + -32x Combine like terms: 16x + -32x = -16x 32 + -16x = 56 + 32x + -32x Combine like terms: 32x + -32x = 0 32 + -16x = 56 + 0 32 + -16x = 56 Add '-32' to each side of the equation. 32 + -32 + -16x = 56 + -32 Combine like terms: 32 + -32 = 0 0 + -16x = 56 + -32 -16x = 56 + -32 Combine like terms: 56 + -32 = 24 -16x = 24 Divide each side by '-16'. x = -1.5 Simplifying x = -1.5
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