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Simplifying 14x + 7 = 9(12 + 5x) Reorder the terms: 7 + 14x = 9(12 + 5x) 7 + 14x = (12 * 9 + 5x * 9) 7 + 14x = (108 + 45x) Solving 7 + 14x = 108 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 7 + 14x + -45x = 108 + 45x + -45x Combine like terms: 14x + -45x = -31x 7 + -31x = 108 + 45x + -45x Combine like terms: 45x + -45x = 0 7 + -31x = 108 + 0 7 + -31x = 108 Add '-7' to each side of the equation. 7 + -7 + -31x = 108 + -7 Combine like terms: 7 + -7 = 0 0 + -31x = 108 + -7 -31x = 108 + -7 Combine like terms: 108 + -7 = 101 -31x = 101 Divide each side by '-31'. x = -3.258064516 Simplifying x = -3.258064516
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