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Simplifying 5(3x + 2) = 7(9x + 5) Reorder the terms: 5(2 + 3x) = 7(9x + 5) (2 * 5 + 3x * 5) = 7(9x + 5) (10 + 15x) = 7(9x + 5) Reorder the terms: 10 + 15x = 7(5 + 9x) 10 + 15x = (5 * 7 + 9x * 7) 10 + 15x = (35 + 63x) Solving 10 + 15x = 35 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 10 + 15x + -63x = 35 + 63x + -63x Combine like terms: 15x + -63x = -48x 10 + -48x = 35 + 63x + -63x Combine like terms: 63x + -63x = 0 10 + -48x = 35 + 0 10 + -48x = 35 Add '-10' to each side of the equation. 10 + -10 + -48x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + -48x = 35 + -10 -48x = 35 + -10 Combine like terms: 35 + -10 = 25 -48x = 25 Divide each side by '-48'. x = -0.5208333333 Simplifying x = -0.5208333333
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