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Simplifying 35 = 12x + -1(8x + -7) Reorder the terms: 35 = 12x + -1(-7 + 8x) 35 = 12x + (-7 * -1 + 8x * -1) 35 = 12x + (7 + -8x) Reorder the terms: 35 = 7 + 12x + -8x Combine like terms: 12x + -8x = 4x 35 = 7 + 4x Solving 35 = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 35 + -4x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + -4x = 7 + 0 35 + -4x = 7 Add '-35' to each side of the equation. 35 + -35 + -4x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -4x = 7 + -35 -4x = 7 + -35 Combine like terms: 7 + -35 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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