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