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Simplifying 7(2x + 12) = 10(2x + 5) Reorder the terms: 7(12 + 2x) = 10(2x + 5) (12 * 7 + 2x * 7) = 10(2x + 5) (84 + 14x) = 10(2x + 5) Reorder the terms: 84 + 14x = 10(5 + 2x) 84 + 14x = (5 * 10 + 2x * 10) 84 + 14x = (50 + 20x) Solving 84 + 14x = 50 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 84 + 14x + -20x = 50 + 20x + -20x Combine like terms: 14x + -20x = -6x 84 + -6x = 50 + 20x + -20x Combine like terms: 20x + -20x = 0 84 + -6x = 50 + 0 84 + -6x = 50 Add '-84' to each side of the equation. 84 + -84 + -6x = 50 + -84 Combine like terms: 84 + -84 = 0 0 + -6x = 50 + -84 -6x = 50 + -84 Combine like terms: 50 + -84 = -34 -6x = -34 Divide each side by '-6'. x = 5.666666667 Simplifying x = 5.666666667
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