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Simplifying 32 = 4(x + -2) + 4x Reorder the terms: 32 = 4(-2 + x) + 4x 32 = (-2 * 4 + x * 4) + 4x 32 = (-8 + 4x) + 4x Combine like terms: 4x + 4x = 8x 32 = -8 + 8x Solving 32 = -8 + 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 + -8x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -8x = -8 + 0 32 + -8x = -8 Add '-32' to each side of the equation. 32 + -32 + -8x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = -8 + -32 -8x = -8 + -32 Combine like terms: -8 + -32 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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