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Simplifying 8(x + -4) = -4x + 76 Reorder the terms: 8(-4 + x) = -4x + 76 (-4 * 8 + x * 8) = -4x + 76 (-32 + 8x) = -4x + 76 Reorder the terms: -32 + 8x = 76 + -4x Solving -32 + 8x = 76 + -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 = 76 + -4x + 4x Combine like terms: 8x + 4x = 12x -32 + 12x = 76 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 12x = 76 + 0 -32 + 12x = 76 Add '32' to each side of the equation. -32 + 32 + 12x = 76 + 32 Combine like terms: -32 + 32 = 0 0 + 12x = 76 + 32 12x = 76 + 32 Combine like terms: 76 + 32 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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