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Simplifying 8(2x + -1) = 32x + 8 Reorder the terms: 8(-1 + 2x) = 32x + 8 (-1 * 8 + 2x * 8) = 32x + 8 (-8 + 16x) = 32x + 8 Reorder the terms: -8 + 16x = 8 + 32x Solving -8 + 16x = 8 + 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. -8 + 16x + -32x = 8 + 32x + -32x Combine like terms: 16x + -32x = -16x -8 + -16x = 8 + 32x + -32x Combine like terms: 32x + -32x = 0 -8 + -16x = 8 + 0 -8 + -16x = 8 Add '8' to each side of the equation. -8 + 8 + -16x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -16x = 8 + 8 -16x = 8 + 8 Combine like terms: 8 + 8 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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