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Simplifying -5(x + -2) + -1(x + 2) = 50 Reorder the terms: -5(-2 + x) + -1(x + 2) = 50 (-2 * -5 + x * -5) + -1(x + 2) = 50 (10 + -5x) + -1(x + 2) = 50 Reorder the terms: 10 + -5x + -1(2 + x) = 50 10 + -5x + (2 * -1 + x * -1) = 50 10 + -5x + (-2 + -1x) = 50 Reorder the terms: 10 + -2 + -5x + -1x = 50 Combine like terms: 10 + -2 = 8 8 + -5x + -1x = 50 Combine like terms: -5x + -1x = -6x 8 + -6x = 50 Solving 8 + -6x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6x = 50 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 50 + -8 -6x = 50 + -8 Combine like terms: 50 + -8 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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