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Simplifying 32 = 4(x + 6) + -2x Reorder the terms: 32 = 4(6 + x) + -2x 32 = (6 * 4 + x * 4) + -2x 32 = (24 + 4x) + -2x Combine like terms: 4x + -2x = 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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