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Simplifying 35 = 5(x + -7) + 5x Reorder the terms: 35 = 5(-7 + x) + 5x 35 = (-7 * 5 + x * 5) + 5x 35 = (-35 + 5x) + 5x Combine like terms: 5x + 5x = 10x 35 = -35 + 10x Solving 35 = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 35 + -10x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 35 + -10x = -35 + 0 35 + -10x = -35 Add '-35' to each side of the equation. 35 + -35 + -10x = -35 + -35 Combine like terms: 35 + -35 = 0 0 + -10x = -35 + -35 -10x = -35 + -35 Combine like terms: -35 + -35 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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