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Simplifying 3(x + 32) = 7x Reorder the terms: 3(32 + x) = 7x (32 * 3 + x * 3) = 7x (96 + 3x) = 7x Solving 96 + 3x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 96 + 3x + -7x = 7x + -7x Combine like terms: 3x + -7x = -4x 96 + -4x = 7x + -7x Combine like terms: 7x + -7x = 0 96 + -4x = 0 Add '-96' to each side of the equation. 96 + -96 + -4x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -4x = 0 + -96 -4x = 0 + -96 Combine like terms: 0 + -96 = -96 -4x = -96 Divide each side by '-4'. x = 24 Simplifying x = 24
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