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Simplifying -2(3x + 5) + -5(x + -4) = 12 Reorder the terms: -2(5 + 3x) + -5(x + -4) = 12 (5 * -2 + 3x * -2) + -5(x + -4) = 12 (-10 + -6x) + -5(x + -4) = 12 Reorder the terms: -10 + -6x + -5(-4 + x) = 12 -10 + -6x + (-4 * -5 + x * -5) = 12 -10 + -6x + (20 + -5x) = 12 Reorder the terms: -10 + 20 + -6x + -5x = 12 Combine like terms: -10 + 20 = 10 10 + -6x + -5x = 12 Combine like terms: -6x + -5x = -11x 10 + -11x = 12 Solving 10 + -11x = 12 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 = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 12 + -10 -11x = 12 + -10 Combine like terms: 12 + -10 = 2 -11x = 2 Divide each side by '-11'. x = -0.1818181818 Simplifying x = -0.1818181818
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