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Simplifying -2(5x + 4) + -1(2 + x) = 89 Reorder the terms: -2(4 + 5x) + -1(2 + x) = 89 (4 * -2 + 5x * -2) + -1(2 + x) = 89 (-8 + -10x) + -1(2 + x) = 89 -8 + -10x + (2 * -1 + x * -1) = 89 -8 + -10x + (-2 + -1x) = 89 Reorder the terms: -8 + -2 + -10x + -1x = 89 Combine like terms: -8 + -2 = -10 -10 + -10x + -1x = 89 Combine like terms: -10x + -1x = -11x -10 + -11x = 89 Solving -10 + -11x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -11x = 89 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = 89 + 10 -11x = 89 + 10 Combine like terms: 89 + 10 = 99 -11x = 99 Divide each side by '-11'. x = -9 Simplifying x = -9
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