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Simplifying 3(3x + -3) + 32 = 5x + 3 Reorder the terms: 3(-3 + 3x) + 32 = 5x + 3 (-3 * 3 + 3x * 3) + 32 = 5x + 3 (-9 + 9x) + 32 = 5x + 3 Reorder the terms: -9 + 32 + 9x = 5x + 3 Combine like terms: -9 + 32 = 23 23 + 9x = 5x + 3 Reorder the terms: 23 + 9x = 3 + 5x Solving 23 + 9x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 23 + 9x + -5x = 3 + 5x + -5x Combine like terms: 9x + -5x = 4x 23 + 4x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + 4x = 3 + 0 23 + 4x = 3 Add '-23' to each side of the equation. 23 + -23 + 4x = 3 + -23 Combine like terms: 23 + -23 = 0 0 + 4x = 3 + -23 4x = 3 + -23 Combine like terms: 3 + -23 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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