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Simplifying 3(x + 3) + -5 = 2x + 3(x + 2) Reorder the terms: 3(3 + x) + -5 = 2x + 3(x + 2) (3 * 3 + x * 3) + -5 = 2x + 3(x + 2) (9 + 3x) + -5 = 2x + 3(x + 2) Reorder the terms: 9 + -5 + 3x = 2x + 3(x + 2) Combine like terms: 9 + -5 = 4 4 + 3x = 2x + 3(x + 2) Reorder the terms: 4 + 3x = 2x + 3(2 + x) 4 + 3x = 2x + (2 * 3 + x * 3) 4 + 3x = 2x + (6 + 3x) Reorder the terms: 4 + 3x = 6 + 2x + 3x Combine like terms: 2x + 3x = 5x 4 + 3x = 6 + 5x Solving 4 + 3x = 6 + 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. 4 + 3x + -5x = 6 + 5x + -5x Combine like terms: 3x + -5x = -2x 4 + -2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -2x = 6 + 0 4 + -2x = 6 Add '-4' to each side of the equation. 4 + -4 + -2x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 6 + -4 -2x = 6 + -4 Combine like terms: 6 + -4 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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