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Simplifying 5(3x + 5) = 9(7x + 3) + 1 Reorder the terms: 5(5 + 3x) = 9(7x + 3) + 1 (5 * 5 + 3x * 5) = 9(7x + 3) + 1 (25 + 15x) = 9(7x + 3) + 1 Reorder the terms: 25 + 15x = 9(3 + 7x) + 1 25 + 15x = (3 * 9 + 7x * 9) + 1 25 + 15x = (27 + 63x) + 1 Reorder the terms: 25 + 15x = 27 + 1 + 63x Combine like terms: 27 + 1 = 28 25 + 15x = 28 + 63x Solving 25 + 15x = 28 + 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. 25 + 15x + -63x = 28 + 63x + -63x Combine like terms: 15x + -63x = -48x 25 + -48x = 28 + 63x + -63x Combine like terms: 63x + -63x = 0 25 + -48x = 28 + 0 25 + -48x = 28 Add '-25' to each side of the equation. 25 + -25 + -48x = 28 + -25 Combine like terms: 25 + -25 = 0 0 + -48x = 28 + -25 -48x = 28 + -25 Combine like terms: 28 + -25 = 3 -48x = 3 Divide each side by '-48'. x = -0.0625 Simplifying x = -0.0625
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