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Simplifying 35 + 6x = 5(4x + -7) Reorder the terms: 35 + 6x = 5(-7 + 4x) 35 + 6x = (-7 * 5 + 4x * 5) 35 + 6x = (-35 + 20x) Solving 35 + 6x = -35 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 35 + 6x + -20x = -35 + 20x + -20x Combine like terms: 6x + -20x = -14x 35 + -14x = -35 + 20x + -20x Combine like terms: 20x + -20x = 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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