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Simplifying 5(x + 3) + 8 = -2(x + -8) Reorder the terms: 5(3 + x) + 8 = -2(x + -8) (3 * 5 + x * 5) + 8 = -2(x + -8) (15 + 5x) + 8 = -2(x + -8) Reorder the terms: 15 + 8 + 5x = -2(x + -8) Combine like terms: 15 + 8 = 23 23 + 5x = -2(x + -8) Reorder the terms: 23 + 5x = -2(-8 + x) 23 + 5x = (-8 * -2 + x * -2) 23 + 5x = (16 + -2x) Solving 23 + 5x = 16 + -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. 23 + 5x + 2x = 16 + -2x + 2x Combine like terms: 5x + 2x = 7x 23 + 7x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 23 + 7x = 16 + 0 23 + 7x = 16 Add '-23' to each side of the equation. 23 + -23 + 7x = 16 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 16 + -23 7x = 16 + -23 Combine like terms: 16 + -23 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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