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Simplifying 2(5x + 3) + -1(7x + 1) = -88 Reorder the terms: 2(3 + 5x) + -1(7x + 1) = -88 (3 * 2 + 5x * 2) + -1(7x + 1) = -88 (6 + 10x) + -1(7x + 1) = -88 Reorder the terms: 6 + 10x + -1(1 + 7x) = -88 6 + 10x + (1 * -1 + 7x * -1) = -88 6 + 10x + (-1 + -7x) = -88 Reorder the terms: 6 + -1 + 10x + -7x = -88 Combine like terms: 6 + -1 = 5 5 + 10x + -7x = -88 Combine like terms: 10x + -7x = 3x 5 + 3x = -88 Solving 5 + 3x = -88 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = -88 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -88 + -5 3x = -88 + -5 Combine like terms: -88 + -5 = -93 3x = -93 Divide each side by '3'. x = -31 Simplifying x = -31
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