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Simplifying 5x + 3(4x + 5) = 117 Reorder the terms: 5x + 3(5 + 4x) = 117 5x + (5 * 3 + 4x * 3) = 117 5x + (15 + 12x) = 117 Reorder the terms: 15 + 5x + 12x = 117 Combine like terms: 5x + 12x = 17x 15 + 17x = 117 Solving 15 + 17x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 17x = 117 + -15 Combine like terms: 15 + -15 = 0 0 + 17x = 117 + -15 17x = 117 + -15 Combine like terms: 117 + -15 = 102 17x = 102 Divide each side by '17'. x = 6 Simplifying x = 6
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