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Simplifying 4(x + -2) = 32 + -4x Reorder the terms: 4(-2 + x) = 32 + -4x (-2 * 4 + x * 4) = 32 + -4x (-8 + 4x) = 32 + -4x Solving -8 + 4x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 4x + 4x = 32 + -4x + 4x Combine like terms: 4x + 4x = 8x -8 + 8x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 8x = 32 + 0 -8 + 8x = 32 Add '8' to each side of the equation. -8 + 8 + 8x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 32 + 8 8x = 32 + 8 Combine like terms: 32 + 8 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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