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Simplifying 4(x + 2) + -2(x + 4) = 32 Reorder the terms: 4(2 + x) + -2(x + 4) = 32 (2 * 4 + x * 4) + -2(x + 4) = 32 (8 + 4x) + -2(x + 4) = 32 Reorder the terms: 8 + 4x + -2(4 + x) = 32 8 + 4x + (4 * -2 + x * -2) = 32 8 + 4x + (-8 + -2x) = 32 Reorder the terms: 8 + -8 + 4x + -2x = 32 Combine like terms: 8 + -8 = 0 0 + 4x + -2x = 32 4x + -2x = 32 Combine like terms: 4x + -2x = 2x 2x = 32 Solving 2x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = 16 Simplifying x = 16
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