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Simplifying 5x + 15 + 11 = 2(x + 12) + 8 Reorder the terms: 15 + 11 + 5x = 2(x + 12) + 8 Combine like terms: 15 + 11 = 26 26 + 5x = 2(x + 12) + 8 Reorder the terms: 26 + 5x = 2(12 + x) + 8 26 + 5x = (12 * 2 + x * 2) + 8 26 + 5x = (24 + 2x) + 8 Reorder the terms: 26 + 5x = 24 + 8 + 2x Combine like terms: 24 + 8 = 32 26 + 5x = 32 + 2x Solving 26 + 5x = 32 + 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 = 32 + 2x + -2x Combine like terms: 5x + -2x = 3x 26 + 3x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 26 + 3x = 32 + 0 26 + 3x = 32 Add '-26' to each side of the equation. 26 + -26 + 3x = 32 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = 32 + -26 3x = 32 + -26 Combine like terms: 32 + -26 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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