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Simplifying 4(5x + 7) = 3(2x + 6) Reorder the terms: 4(7 + 5x) = 3(2x + 6) (7 * 4 + 5x * 4) = 3(2x + 6) (28 + 20x) = 3(2x + 6) Reorder the terms: 28 + 20x = 3(6 + 2x) 28 + 20x = (6 * 3 + 2x * 3) 28 + 20x = (18 + 6x) Solving 28 + 20x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + 20x + -6x = 18 + 6x + -6x Combine like terms: 20x + -6x = 14x 28 + 14x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + 14x = 18 + 0 28 + 14x = 18 Add '-28' to each side of the equation. 28 + -28 + 14x = 18 + -28 Combine like terms: 28 + -28 = 0 0 + 14x = 18 + -28 14x = 18 + -28 Combine like terms: 18 + -28 = -10 14x = -10 Divide each side by '14'. x = -0.7142857143 Simplifying x = -0.7142857143
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