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Simplifying 2(7x + 5) = 10(2x + 3) Reorder the terms: 2(5 + 7x) = 10(2x + 3) (5 * 2 + 7x * 2) = 10(2x + 3) (10 + 14x) = 10(2x + 3) Reorder the terms: 10 + 14x = 10(3 + 2x) 10 + 14x = (3 * 10 + 2x * 10) 10 + 14x = (30 + 20x) Solving 10 + 14x = 30 + 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. 10 + 14x + -20x = 30 + 20x + -20x Combine like terms: 14x + -20x = -6x 10 + -6x = 30 + 20x + -20x Combine like terms: 20x + -20x = 0 10 + -6x = 30 + 0 10 + -6x = 30 Add '-10' to each side of the equation. 10 + -10 + -6x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 30 + -10 -6x = 30 + -10 Combine like terms: 30 + -10 = 20 -6x = 20 Divide each side by '-6'. x = -3.333333333 Simplifying x = -3.333333333
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