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Simplifying -5x + 49 = 3(4x + 5) Reorder the terms: 49 + -5x = 3(4x + 5) Reorder the terms: 49 + -5x = 3(5 + 4x) 49 + -5x = (5 * 3 + 4x * 3) 49 + -5x = (15 + 12x) Solving 49 + -5x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 49 + -5x + -12x = 15 + 12x + -12x Combine like terms: -5x + -12x = -17x 49 + -17x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 49 + -17x = 15 + 0 49 + -17x = 15 Add '-49' to each side of the equation. 49 + -49 + -17x = 15 + -49 Combine like terms: 49 + -49 = 0 0 + -17x = 15 + -49 -17x = 15 + -49 Combine like terms: 15 + -49 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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