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Simplifying 3(5x + 2) + 5 = 13x + 3 Reorder the terms: 3(2 + 5x) + 5 = 13x + 3 (2 * 3 + 5x * 3) + 5 = 13x + 3 (6 + 15x) + 5 = 13x + 3 Reorder the terms: 6 + 5 + 15x = 13x + 3 Combine like terms: 6 + 5 = 11 11 + 15x = 13x + 3 Reorder the terms: 11 + 15x = 3 + 13x Solving 11 + 15x = 3 + 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. 11 + 15x + -13x = 3 + 13x + -13x Combine like terms: 15x + -13x = 2x 11 + 2x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 11 + 2x = 3 + 0 11 + 2x = 3 Add '-11' to each side of the equation. 11 + -11 + 2x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 3 + -11 2x = 3 + -11 Combine like terms: 3 + -11 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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