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Simplifying 4(x + -4) = 32 + -2x Reorder the terms: 4(-4 + x) = 32 + -2x (-4 * 4 + x * 4) = 32 + -2x (-16 + 4x) = 32 + -2x Solving -16 + 4x = 32 + -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. -16 + 4x + 2x = 32 + -2x + 2x Combine like terms: 4x + 2x = 6x -16 + 6x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 6x = 32 + 0 -16 + 6x = 32 Add '16' to each side of the equation. -16 + 16 + 6x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 32 + 16 6x = 32 + 16 Combine like terms: 32 + 16 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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