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Simplifying 5(x + 3) = 31 + -2(x + 1) Reorder the terms: 5(3 + x) = 31 + -2(x + 1) (3 * 5 + x * 5) = 31 + -2(x + 1) (15 + 5x) = 31 + -2(x + 1) Reorder the terms: 15 + 5x = 31 + -2(1 + x) 15 + 5x = 31 + (1 * -2 + x * -2) 15 + 5x = 31 + (-2 + -2x) Combine like terms: 31 + -2 = 29 15 + 5x = 29 + -2x Solving 15 + 5x = 29 + -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 = 29 + -2x + 2x Combine like terms: 5x + 2x = 7x 15 + 7x = 29 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 7x = 29 + 0 15 + 7x = 29 Add '-15' to each side of the equation. 15 + -15 + 7x = 29 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 29 + -15 7x = 29 + -15 Combine like terms: 29 + -15 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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