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Simplifying 119 = (5x + -19) + (2x + 5) Reorder the terms: 119 = (-19 + 5x) + (2x + 5) Remove parenthesis around (-19 + 5x) 119 = -19 + 5x + (2x + 5) Reorder the terms: 119 = -19 + 5x + (5 + 2x) Remove parenthesis around (5 + 2x) 119 = -19 + 5x + 5 + 2x Reorder the terms: 119 = -19 + 5 + 5x + 2x Combine like terms: -19 + 5 = -14 119 = -14 + 5x + 2x Combine like terms: 5x + 2x = 7x 119 = -14 + 7x Solving 119 = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 119 + -7x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 119 + -7x = -14 + 0 119 + -7x = -14 Add '-119' to each side of the equation. 119 + -119 + -7x = -14 + -119 Combine like terms: 119 + -119 = 0 0 + -7x = -14 + -119 -7x = -14 + -119 Combine like terms: -14 + -119 = -133 -7x = -133 Divide each side by '-7'. x = 19 Simplifying x = 19
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