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Simplifying 8(2x + 5) + 13 + 6(2x + 9) = 247 Reorder the terms: 8(5 + 2x) + 13 + 6(2x + 9) = 247 (5 * 8 + 2x * 8) + 13 + 6(2x + 9) = 247 (40 + 16x) + 13 + 6(2x + 9) = 247 Reorder the terms: 40 + 16x + 13 + 6(9 + 2x) = 247 40 + 16x + 13 + (9 * 6 + 2x * 6) = 247 40 + 16x + 13 + (54 + 12x) = 247 Reorder the terms: 40 + 13 + 54 + 16x + 12x = 247 Combine like terms: 40 + 13 = 53 53 + 54 + 16x + 12x = 247 Combine like terms: 53 + 54 = 107 107 + 16x + 12x = 247 Combine like terms: 16x + 12x = 28x 107 + 28x = 247 Solving 107 + 28x = 247 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-107' to each side of the equation. 107 + -107 + 28x = 247 + -107 Combine like terms: 107 + -107 = 0 0 + 28x = 247 + -107 28x = 247 + -107 Combine like terms: 247 + -107 = 140 28x = 140 Divide each side by '28'. x = 5 Simplifying x = 5
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