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Simplifying -5(x + -7) = -6(-7 + x) Reorder the terms: -5(-7 + x) = -6(-7 + x) (-7 * -5 + x * -5) = -6(-7 + x) (35 + -5x) = -6(-7 + x) 35 + -5x = (-7 * -6 + x * -6) 35 + -5x = (42 + -6x) Solving 35 + -5x = 42 + -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 = 42 + -6x + 6x Combine like terms: -5x + 6x = 1x 35 + 1x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 35 + 1x = 42 + 0 35 + 1x = 42 Add '-35' to each side of the equation. 35 + -35 + 1x = 42 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 42 + -35 1x = 42 + -35 Combine like terms: 42 + -35 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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