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Simplifying 4(6x + 8) = -8(-1x + 6) Reorder the terms: 4(8 + 6x) = -8(-1x + 6) (8 * 4 + 6x * 4) = -8(-1x + 6) (32 + 24x) = -8(-1x + 6) Reorder the terms: 32 + 24x = -8(6 + -1x) 32 + 24x = (6 * -8 + -1x * -8) 32 + 24x = (-48 + 8x) Solving 32 + 24x = -48 + 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. 32 + 24x + -8x = -48 + 8x + -8x Combine like terms: 24x + -8x = 16x 32 + 16x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + 16x = -48 + 0 32 + 16x = -48 Add '-32' to each side of the equation. 32 + -32 + 16x = -48 + -32 Combine like terms: 32 + -32 = 0 0 + 16x = -48 + -32 16x = -48 + -32 Combine like terms: -48 + -32 = -80 16x = -80 Divide each side by '16'. x = -5 Simplifying x = -5
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