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Simplifying 3(2x + 5) = 7(3 + -2x) Reorder the terms: 3(5 + 2x) = 7(3 + -2x) (5 * 3 + 2x * 3) = 7(3 + -2x) (15 + 6x) = 7(3 + -2x) 15 + 6x = (3 * 7 + -2x * 7) 15 + 6x = (21 + -14x) Solving 15 + 6x = 21 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 15 + 6x + 14x = 21 + -14x + 14x Combine like terms: 6x + 14x = 20x 15 + 20x = 21 + -14x + 14x Combine like terms: -14x + 14x = 0 15 + 20x = 21 + 0 15 + 20x = 21 Add '-15' to each side of the equation. 15 + -15 + 20x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 20x = 21 + -15 20x = 21 + -15 Combine like terms: 21 + -15 = 6 20x = 6 Divide each side by '20'. x = 0.3 Simplifying x = 0.3
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