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Simplifying 3(x + 5) = -2x + 38 + -13 Reorder the terms: 3(5 + x) = -2x + 38 + -13 (5 * 3 + x * 3) = -2x + 38 + -13 (15 + 3x) = -2x + 38 + -13 Reorder the terms: 15 + 3x = 38 + -13 + -2x Combine like terms: 38 + -13 = 25 15 + 3x = 25 + -2x Solving 15 + 3x = 25 + -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 + 3x + 2x = 25 + -2x + 2x Combine like terms: 3x + 2x = 5x 15 + 5x = 25 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 5x = 25 + 0 15 + 5x = 25 Add '-15' to each side of the equation. 15 + -15 + 5x = 25 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 25 + -15 5x = 25 + -15 Combine like terms: 25 + -15 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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