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Simplifying -6x + 32 = 4(5 + -2x) Reorder the terms: 32 + -6x = 4(5 + -2x) 32 + -6x = (5 * 4 + -2x * 4) 32 + -6x = (20 + -8x) Solving 32 + -6x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 32 + -6x + 8x = 20 + -8x + 8x Combine like terms: -6x + 8x = 2x 32 + 2x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + 2x = 20 + 0 32 + 2x = 20 Add '-32' to each side of the equation. 32 + -32 + 2x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 20 + -32 2x = 20 + -32 Combine like terms: 20 + -32 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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