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Simplifying 3(5x + 1) = 13x + 1 Reorder the terms: 3(1 + 5x) = 13x + 1 (1 * 3 + 5x * 3) = 13x + 1 (3 + 15x) = 13x + 1 Reorder the terms: 3 + 15x = 1 + 13x Solving 3 + 15x = 1 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 3 + 15x + -13x = 1 + 13x + -13x Combine like terms: 15x + -13x = 2x 3 + 2x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 3 + 2x = 1 + 0 3 + 2x = 1 Add '-3' to each side of the equation. 3 + -3 + 2x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 1 + -3 2x = 1 + -3 Combine like terms: 1 + -3 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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