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Simplifying -2(x + -5) + -1(-3x + -7) = 5 Reorder the terms: -2(-5 + x) + -1(-3x + -7) = 5 (-5 * -2 + x * -2) + -1(-3x + -7) = 5 (10 + -2x) + -1(-3x + -7) = 5 Reorder the terms: 10 + -2x + -1(-7 + -3x) = 5 10 + -2x + (-7 * -1 + -3x * -1) = 5 10 + -2x + (7 + 3x) = 5 Reorder the terms: 10 + 7 + -2x + 3x = 5 Combine like terms: 10 + 7 = 17 17 + -2x + 3x = 5 Combine like terms: -2x + 3x = 1x 17 + 1x = 5 Solving 17 + 1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 5 + -17 1x = 5 + -17 Combine like terms: 5 + -17 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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