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Simplifying 3(x + 5) + 2x = 2(x + 5) + -3 Reorder the terms: 3(5 + x) + 2x = 2(x + 5) + -3 (5 * 3 + x * 3) + 2x = 2(x + 5) + -3 (15 + 3x) + 2x = 2(x + 5) + -3 Combine like terms: 3x + 2x = 5x 15 + 5x = 2(x + 5) + -3 Reorder the terms: 15 + 5x = 2(5 + x) + -3 15 + 5x = (5 * 2 + x * 2) + -3 15 + 5x = (10 + 2x) + -3 Reorder the terms: 15 + 5x = 10 + -3 + 2x Combine like terms: 10 + -3 = 7 15 + 5x = 7 + 2x Solving 15 + 5x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 5x + -2x = 7 + 2x + -2x Combine like terms: 5x + -2x = 3x 15 + 3x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 3x = 7 + 0 15 + 3x = 7 Add '-15' to each side of the equation. 15 + -15 + 3x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 7 + -15 3x = 7 + -15 Combine like terms: 7 + -15 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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