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Simplifying -8(x + -4) = x + -40 Reorder the terms: -8(-4 + x) = x + -40 (-4 * -8 + x * -8) = x + -40 (32 + -8x) = x + -40 Reorder the terms: 32 + -8x = -40 + x Solving 32 + -8x = -40 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 32 + -8x + -1x = -40 + x + -1x Combine like terms: -8x + -1x = -9x 32 + -9x = -40 + x + -1x Combine like terms: x + -1x = 0 32 + -9x = -40 + 0 32 + -9x = -40 Add '-32' to each side of the equation. 32 + -32 + -9x = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -9x = -40 + -32 -9x = -40 + -32 Combine like terms: -40 + -32 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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