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Simplifying 6x + -7(5x + -12) = -119 Reorder the terms: 6x + -7(-12 + 5x) = -119 6x + (-12 * -7 + 5x * -7) = -119 6x + (84 + -35x) = -119 Reorder the terms: 84 + 6x + -35x = -119 Combine like terms: 6x + -35x = -29x 84 + -29x = -119 Solving 84 + -29x = -119 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -29x = -119 + -84 Combine like terms: 84 + -84 = 0 0 + -29x = -119 + -84 -29x = -119 + -84 Combine like terms: -119 + -84 = -203 -29x = -203 Divide each side by '-29'. x = 7 Simplifying x = 7
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