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Simplifying (x + 3) * 2 = (x + 5) * 3 Reorder the terms: (3 + x) * 2 = (x + 5) * 3 Reorder the terms for easier multiplication: 2(3 + x) = (x + 5) * 3 (3 * 2 + x * 2) = (x + 5) * 3 (6 + 2x) = (x + 5) * 3 Reorder the terms: 6 + 2x = (5 + x) * 3 Reorder the terms for easier multiplication: 6 + 2x = 3(5 + x) 6 + 2x = (5 * 3 + x * 3) 6 + 2x = (15 + 3x) Solving 6 + 2x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 2x + -3x = 15 + 3x + -3x Combine like terms: 2x + -3x = -1x 6 + -1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -1x = 15 + 0 6 + -1x = 15 Add '-6' to each side of the equation. 6 + -6 + -1x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 15 + -6 -1x = 15 + -6 Combine like terms: 15 + -6 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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