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Simplifying -5(x + -7) = -6x Reorder the terms: -5(-7 + x) = -6x (-7 * -5 + x * -5) = -6x (35 + -5x) = -6x Solving 35 + -5x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 35 + -5x + 6x = -6x + 6x Combine like terms: -5x + 6x = 1x 35 + 1x = -6x + 6x Combine like terms: -6x + 6x = 0 35 + 1x = 0 Add '-35' to each side of the equation. 35 + -35 + 1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 0 + -35 1x = 0 + -35 Combine like terms: 0 + -35 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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