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Simplifying 8(x + 4) = 12x + -32 Reorder the terms: 8(4 + x) = 12x + -32 (4 * 8 + x * 8) = 12x + -32 (32 + 8x) = 12x + -32 Reorder the terms: 32 + 8x = -32 + 12x Solving 32 + 8x = -32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 32 + 8x + -12x = -32 + 12x + -12x Combine like terms: 8x + -12x = -4x 32 + -4x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 32 + -4x = -32 + 0 32 + -4x = -32 Add '-32' to each side of the equation. 32 + -32 + -4x = -32 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = -32 + -32 -4x = -32 + -32 Combine like terms: -32 + -32 = -64 -4x = -64 Divide each side by '-4'. x = 16 Simplifying x = 16
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