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Simplifying 14(x + 5) = 12(x + 6) Reorder the terms: 14(5 + x) = 12(x + 6) (5 * 14 + x * 14) = 12(x + 6) (70 + 14x) = 12(x + 6) Reorder the terms: 70 + 14x = 12(6 + x) 70 + 14x = (6 * 12 + x * 12) 70 + 14x = (72 + 12x) Solving 70 + 14x = 72 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 70 + 14x + -12x = 72 + 12x + -12x Combine like terms: 14x + -12x = 2x 70 + 2x = 72 + 12x + -12x Combine like terms: 12x + -12x = 0 70 + 2x = 72 + 0 70 + 2x = 72 Add '-70' to each side of the equation. 70 + -70 + 2x = 72 + -70 Combine like terms: 70 + -70 = 0 0 + 2x = 72 + -70 2x = 72 + -70 Combine like terms: 72 + -70 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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