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Simplifying 8(4 + -1x) = -4(x + -2) (4 * 8 + -1x * 8) = -4(x + -2) (32 + -8x) = -4(x + -2) Reorder the terms: 32 + -8x = -4(-2 + x) 32 + -8x = (-2 * -4 + x * -4) 32 + -8x = (8 + -4x) Solving 32 + -8x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 32 + -8x + 4x = 8 + -4x + 4x Combine like terms: -8x + 4x = -4x 32 + -4x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + -4x = 8 + 0 32 + -4x = 8 Add '-32' to each side of the equation. 32 + -32 + -4x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 8 + -32 -4x = 8 + -32 Combine like terms: 8 + -32 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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