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Simplifying 5(x + 3) + 11 = 2(x + 6) + 8 Reorder the terms: 5(3 + x) + 11 = 2(x + 6) + 8 (3 * 5 + x * 5) + 11 = 2(x + 6) + 8 (15 + 5x) + 11 = 2(x + 6) + 8 Reorder the terms: 15 + 11 + 5x = 2(x + 6) + 8 Combine like terms: 15 + 11 = 26 26 + 5x = 2(x + 6) + 8 Reorder the terms: 26 + 5x = 2(6 + x) + 8 26 + 5x = (6 * 2 + x * 2) + 8 26 + 5x = (12 + 2x) + 8 Reorder the terms: 26 + 5x = 12 + 8 + 2x Combine like terms: 12 + 8 = 20 26 + 5x = 20 + 2x Solving 26 + 5x = 20 + 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. 26 + 5x + -2x = 20 + 2x + -2x Combine like terms: 5x + -2x = 3x 26 + 3x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 26 + 3x = 20 + 0 26 + 3x = 20 Add '-26' to each side of the equation. 26 + -26 + 3x = 20 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = 20 + -26 3x = 20 + -26 Combine like terms: 20 + -26 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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