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Simplifying 3(5x + 9) = 4(7 + 5x) Reorder the terms: 3(9 + 5x) = 4(7 + 5x) (9 * 3 + 5x * 3) = 4(7 + 5x) (27 + 15x) = 4(7 + 5x) 27 + 15x = (7 * 4 + 5x * 4) 27 + 15x = (28 + 20x) Solving 27 + 15x = 28 + 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. 27 + 15x + -20x = 28 + 20x + -20x Combine like terms: 15x + -20x = -5x 27 + -5x = 28 + 20x + -20x Combine like terms: 20x + -20x = 0 27 + -5x = 28 + 0 27 + -5x = 28 Add '-27' to each side of the equation. 27 + -27 + -5x = 28 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 28 + -27 -5x = 28 + -27 Combine like terms: 28 + -27 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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