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Simplifying -6x + 32 = -2(x + -4) Reorder the terms: 32 + -6x = -2(x + -4) Reorder the terms: 32 + -6x = -2(-4 + x) 32 + -6x = (-4 * -2 + x * -2) 32 + -6x = (8 + -2x) Solving 32 + -6x = 8 + -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 + -6x + 2x = 8 + -2x + 2x Combine like terms: -6x + 2x = -4x 32 + -4x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 32 + -4x = 8 + 0 32 + -4x = 8 Add '-32' to each side of the equation. 32 + -32 + -4x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 8 + -32 -4x = 8 + -32 Combine like terms: 8 + -32 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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