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Simplifying 3(2x + 4) + -2(x + 4) = 36 Reorder the terms: 3(4 + 2x) + -2(x + 4) = 36 (4 * 3 + 2x * 3) + -2(x + 4) = 36 (12 + 6x) + -2(x + 4) = 36 Reorder the terms: 12 + 6x + -2(4 + x) = 36 12 + 6x + (4 * -2 + x * -2) = 36 12 + 6x + (-8 + -2x) = 36 Reorder the terms: 12 + -8 + 6x + -2x = 36 Combine like terms: 12 + -8 = 4 4 + 6x + -2x = 36 Combine like terms: 6x + -2x = 4x 4 + 4x = 36 Solving 4 + 4x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4x = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 36 + -4 4x = 36 + -4 Combine like terms: 36 + -4 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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