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Simplifying 5(2x + -3) + 6(x + 5) = 31 Reorder the terms: 5(-3 + 2x) + 6(x + 5) = 31 (-3 * 5 + 2x * 5) + 6(x + 5) = 31 (-15 + 10x) + 6(x + 5) = 31 Reorder the terms: -15 + 10x + 6(5 + x) = 31 -15 + 10x + (5 * 6 + x * 6) = 31 -15 + 10x + (30 + 6x) = 31 Reorder the terms: -15 + 30 + 10x + 6x = 31 Combine like terms: -15 + 30 = 15 15 + 10x + 6x = 31 Combine like terms: 10x + 6x = 16x 15 + 16x = 31 Solving 15 + 16x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 16x = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 16x = 31 + -15 16x = 31 + -15 Combine like terms: 31 + -15 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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