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Simplifying 5(x + 3) + 16 = -2(x + -2) + -1 Reorder the terms: 5(3 + x) + 16 = -2(x + -2) + -1 (3 * 5 + x * 5) + 16 = -2(x + -2) + -1 (15 + 5x) + 16 = -2(x + -2) + -1 Reorder the terms: 15 + 16 + 5x = -2(x + -2) + -1 Combine like terms: 15 + 16 = 31 31 + 5x = -2(x + -2) + -1 Reorder the terms: 31 + 5x = -2(-2 + x) + -1 31 + 5x = (-2 * -2 + x * -2) + -1 31 + 5x = (4 + -2x) + -1 Reorder the terms: 31 + 5x = 4 + -1 + -2x Combine like terms: 4 + -1 = 3 31 + 5x = 3 + -2x Solving 31 + 5x = 3 + -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. 31 + 5x + 2x = 3 + -2x + 2x Combine like terms: 5x + 2x = 7x 31 + 7x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 31 + 7x = 3 + 0 31 + 7x = 3 Add '-31' to each side of the equation. 31 + -31 + 7x = 3 + -31 Combine like terms: 31 + -31 = 0 0 + 7x = 3 + -31 7x = 3 + -31 Combine like terms: 3 + -31 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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