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Simplifying -4 + -5(x + -2) = 50 + -1(2 + -1x) Reorder the terms: -4 + -5(-2 + x) = 50 + -1(2 + -1x) -4 + (-2 * -5 + x * -5) = 50 + -1(2 + -1x) -4 + (10 + -5x) = 50 + -1(2 + -1x) Combine like terms: -4 + 10 = 6 6 + -5x = 50 + -1(2 + -1x) 6 + -5x = 50 + (2 * -1 + -1x * -1) 6 + -5x = 50 + (-2 + 1x) Combine like terms: 50 + -2 = 48 6 + -5x = 48 + 1x Solving 6 + -5x = 48 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -5x + -1x = 48 + 1x + -1x Combine like terms: -5x + -1x = -6x 6 + -6x = 48 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -6x = 48 + 0 6 + -6x = 48 Add '-6' to each side of the equation. 6 + -6 + -6x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 48 + -6 -6x = 48 + -6 Combine like terms: 48 + -6 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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