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Simplifying -35 = 2(5x + -8) + -1(7x + -2) Reorder the terms: -35 = 2(-8 + 5x) + -1(7x + -2) -35 = (-8 * 2 + 5x * 2) + -1(7x + -2) -35 = (-16 + 10x) + -1(7x + -2) Reorder the terms: -35 = -16 + 10x + -1(-2 + 7x) -35 = -16 + 10x + (-2 * -1 + 7x * -1) -35 = -16 + 10x + (2 + -7x) Reorder the terms: -35 = -16 + 2 + 10x + -7x Combine like terms: -16 + 2 = -14 -35 = -14 + 10x + -7x Combine like terms: 10x + -7x = 3x -35 = -14 + 3x Solving -35 = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + -3x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + -3x = -14 + 0 -35 + -3x = -14 Add '35' to each side of the equation. -35 + 35 + -3x = -14 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = -14 + 35 -3x = -14 + 35 Combine like terms: -14 + 35 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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