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Simplifying 3(5x + 9) = 4(7x + 5) Reorder the terms: 3(9 + 5x) = 4(7x + 5) (9 * 3 + 5x * 3) = 4(7x + 5) (27 + 15x) = 4(7x + 5) Reorder the terms: 27 + 15x = 4(5 + 7x) 27 + 15x = (5 * 4 + 7x * 4) 27 + 15x = (20 + 28x) Solving 27 + 15x = 20 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 27 + 15x + -28x = 20 + 28x + -28x Combine like terms: 15x + -28x = -13x 27 + -13x = 20 + 28x + -28x Combine like terms: 28x + -28x = 0 27 + -13x = 20 + 0 27 + -13x = 20 Add '-27' to each side of the equation. 27 + -27 + -13x = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -13x = 20 + -27 -13x = 20 + -27 Combine like terms: 20 + -27 = -7 -13x = -7 Divide each side by '-13'. x = 0.5384615385 Simplifying x = 0.5384615385
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