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Simplifying 3(3x + -3) = 5x + 23 Reorder the terms: 3(-3 + 3x) = 5x + 23 (-3 * 3 + 3x * 3) = 5x + 23 (-9 + 9x) = 5x + 23 Reorder the terms: -9 + 9x = 23 + 5x Solving -9 + 9x = 23 + 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. -9 + 9x + -5x = 23 + 5x + -5x Combine like terms: 9x + -5x = 4x -9 + 4x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 4x = 23 + 0 -9 + 4x = 23 Add '9' to each side of the equation. -9 + 9 + 4x = 23 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 23 + 9 4x = 23 + 9 Combine like terms: 23 + 9 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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