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Simplifying 5x + 32 = 3(3x + 4) Reorder the terms: 32 + 5x = 3(3x + 4) Reorder the terms: 32 + 5x = 3(4 + 3x) 32 + 5x = (4 * 3 + 3x * 3) 32 + 5x = (12 + 9x) Solving 32 + 5x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 32 + 5x + -9x = 12 + 9x + -9x Combine like terms: 5x + -9x = -4x 32 + -4x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + -4x = 12 + 0 32 + -4x = 12 Add '-32' to each side of the equation. 32 + -32 + -4x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 12 + -32 -4x = 12 + -32 Combine like terms: 12 + -32 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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