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Simplifying 5(x + 2) + 13 = -8(x + 1) + -8 Reorder the terms: 5(2 + x) + 13 = -8(x + 1) + -8 (2 * 5 + x * 5) + 13 = -8(x + 1) + -8 (10 + 5x) + 13 = -8(x + 1) + -8 Reorder the terms: 10 + 13 + 5x = -8(x + 1) + -8 Combine like terms: 10 + 13 = 23 23 + 5x = -8(x + 1) + -8 Reorder the terms: 23 + 5x = -8(1 + x) + -8 23 + 5x = (1 * -8 + x * -8) + -8 23 + 5x = (-8 + -8x) + -8 Reorder the terms: 23 + 5x = -8 + -8 + -8x Combine like terms: -8 + -8 = -16 23 + 5x = -16 + -8x Solving 23 + 5x = -16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 23 + 5x + 8x = -16 + -8x + 8x Combine like terms: 5x + 8x = 13x 23 + 13x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 23 + 13x = -16 + 0 23 + 13x = -16 Add '-23' to each side of the equation. 23 + -23 + 13x = -16 + -23 Combine like terms: 23 + -23 = 0 0 + 13x = -16 + -23 13x = -16 + -23 Combine like terms: -16 + -23 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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