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Simplifying -6(-3x + -7) = -34 + -1x Reorder the terms: -6(-7 + -3x) = -34 + -1x (-7 * -6 + -3x * -6) = -34 + -1x (42 + 18x) = -34 + -1x Solving 42 + 18x = -34 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + 18x + x = -34 + -1x + x Combine like terms: 18x + x = 19x 42 + 19x = -34 + -1x + x Combine like terms: -1x + x = 0 42 + 19x = -34 + 0 42 + 19x = -34 Add '-42' to each side of the equation. 42 + -42 + 19x = -34 + -42 Combine like terms: 42 + -42 = 0 0 + 19x = -34 + -42 19x = -34 + -42 Combine like terms: -34 + -42 = -76 19x = -76 Divide each side by '19'. x = -4 Simplifying x = -4
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