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Simplifying 5(x + 4) = 9x + 32 Reorder the terms: 5(4 + x) = 9x + 32 (4 * 5 + x * 5) = 9x + 32 (20 + 5x) = 9x + 32 Reorder the terms: 20 + 5x = 32 + 9x Solving 20 + 5x = 32 + 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. 20 + 5x + -9x = 32 + 9x + -9x Combine like terms: 5x + -9x = -4x 20 + -4x = 32 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -4x = 32 + 0 20 + -4x = 32 Add '-20' to each side of the equation. 20 + -20 + -4x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 32 + -20 -4x = 32 + -20 Combine like terms: 32 + -20 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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