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Simplifying 3(5x + 1) = 15(52x + 3) Reorder the terms: 3(1 + 5x) = 15(52x + 3) (1 * 3 + 5x * 3) = 15(52x + 3) (3 + 15x) = 15(52x + 3) Reorder the terms: 3 + 15x = 15(3 + 52x) 3 + 15x = (3 * 15 + 52x * 15) 3 + 15x = (45 + 780x) Solving 3 + 15x = 45 + 780x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-780x' to each side of the equation. 3 + 15x + -780x = 45 + 780x + -780x Combine like terms: 15x + -780x = -765x 3 + -765x = 45 + 780x + -780x Combine like terms: 780x + -780x = 0 3 + -765x = 45 + 0 3 + -765x = 45 Add '-3' to each side of the equation. 3 + -3 + -765x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + -765x = 45 + -3 -765x = 45 + -3 Combine like terms: 45 + -3 = 42 -765x = 42 Divide each side by '-765'. x = -0.05490196078 Simplifying x = -0.05490196078
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