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Simplifying 8(x + -6) = 32 + -8x Reorder the terms: 8(-6 + x) = 32 + -8x (-6 * 8 + x * 8) = 32 + -8x (-48 + 8x) = 32 + -8x Solving -48 + 8x = 32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -48 + 8x + 8x = 32 + -8x + 8x Combine like terms: 8x + 8x = 16x -48 + 16x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -48 + 16x = 32 + 0 -48 + 16x = 32 Add '48' to each side of the equation. -48 + 48 + 16x = 32 + 48 Combine like terms: -48 + 48 = 0 0 + 16x = 32 + 48 16x = 32 + 48 Combine like terms: 32 + 48 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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