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Simplifying 3(x + 5) = -5x + 31 Reorder the terms: 3(5 + x) = -5x + 31 (5 * 3 + x * 3) = -5x + 31 (15 + 3x) = -5x + 31 Reorder the terms: 15 + 3x = 31 + -5x Solving 15 + 3x = 31 + -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. 15 + 3x + 5x = 31 + -5x + 5x Combine like terms: 3x + 5x = 8x 15 + 8x = 31 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 8x = 31 + 0 15 + 8x = 31 Add '-15' to each side of the equation. 15 + -15 + 8x = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 31 + -15 8x = 31 + -15 Combine like terms: 31 + -15 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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