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Simplifying 2x + 49 = 5(3x + 5) + -2 Reorder the terms: 49 + 2x = 5(3x + 5) + -2 Reorder the terms: 49 + 2x = 5(5 + 3x) + -2 49 + 2x = (5 * 5 + 3x * 5) + -2 49 + 2x = (25 + 15x) + -2 Reorder the terms: 49 + 2x = 25 + -2 + 15x Combine like terms: 25 + -2 = 23 49 + 2x = 23 + 15x Solving 49 + 2x = 23 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 49 + 2x + -15x = 23 + 15x + -15x Combine like terms: 2x + -15x = -13x 49 + -13x = 23 + 15x + -15x Combine like terms: 15x + -15x = 0 49 + -13x = 23 + 0 49 + -13x = 23 Add '-49' to each side of the equation. 49 + -49 + -13x = 23 + -49 Combine like terms: 49 + -49 = 0 0 + -13x = 23 + -49 -13x = 23 + -49 Combine like terms: 23 + -49 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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