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Simplifying 35 = 7(6x + -6) + 7(2x + -5) Reorder the terms: 35 = 7(-6 + 6x) + 7(2x + -5) 35 = (-6 * 7 + 6x * 7) + 7(2x + -5) 35 = (-42 + 42x) + 7(2x + -5) Reorder the terms: 35 = -42 + 42x + 7(-5 + 2x) 35 = -42 + 42x + (-5 * 7 + 2x * 7) 35 = -42 + 42x + (-35 + 14x) Reorder the terms: 35 = -42 + -35 + 42x + 14x Combine like terms: -42 + -35 = -77 35 = -77 + 42x + 14x Combine like terms: 42x + 14x = 56x 35 = -77 + 56x Solving 35 = -77 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 35 + -56x = -77 + 56x + -56x Combine like terms: 56x + -56x = 0 35 + -56x = -77 + 0 35 + -56x = -77 Add '-35' to each side of the equation. 35 + -35 + -56x = -77 + -35 Combine like terms: 35 + -35 = 0 0 + -56x = -77 + -35 -56x = -77 + -35 Combine like terms: -77 + -35 = -112 -56x = -112 Divide each side by '-56'. x = 2 Simplifying x = 2
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