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Simplifying -5(4x + -7) = -6x + -35 Reorder the terms: -5(-7 + 4x) = -6x + -35 (-7 * -5 + 4x * -5) = -6x + -35 (35 + -20x) = -6x + -35 Reorder the terms: 35 + -20x = -35 + -6x Solving 35 + -20x = -35 + -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 + -20x + 6x = -35 + -6x + 6x Combine like terms: -20x + 6x = -14x 35 + -14x = -35 + -6x + 6x Combine like terms: -6x + 6x = 0 35 + -14x = -35 + 0 35 + -14x = -35 Add '-35' to each side of the equation. 35 + -35 + -14x = -35 + -35 Combine like terms: 35 + -35 = 0 0 + -14x = -35 + -35 -14x = -35 + -35 Combine like terms: -35 + -35 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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