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Simplifying 35 = -7(x + -8) + -1(6x + 8) Reorder the terms: 35 = -7(-8 + x) + -1(6x + 8) 35 = (-8 * -7 + x * -7) + -1(6x + 8) 35 = (56 + -7x) + -1(6x + 8) Reorder the terms: 35 = 56 + -7x + -1(8 + 6x) 35 = 56 + -7x + (8 * -1 + 6x * -1) 35 = 56 + -7x + (-8 + -6x) Reorder the terms: 35 = 56 + -8 + -7x + -6x Combine like terms: 56 + -8 = 48 35 = 48 + -7x + -6x Combine like terms: -7x + -6x = -13x 35 = 48 + -13x Solving 35 = 48 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 35 + 13x = 48 + -13x + 13x Combine like terms: -13x + 13x = 0 35 + 13x = 48 + 0 35 + 13x = 48 Add '-35' to each side of the equation. 35 + -35 + 13x = 48 + -35 Combine like terms: 35 + -35 = 0 0 + 13x = 48 + -35 13x = 48 + -35 Combine like terms: 48 + -35 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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