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Simplifying -5(-4x + 2) + -9x = 2(x + -8) + -9 Reorder the terms: -5(2 + -4x) + -9x = 2(x + -8) + -9 (2 * -5 + -4x * -5) + -9x = 2(x + -8) + -9 (-10 + 20x) + -9x = 2(x + -8) + -9 Combine like terms: 20x + -9x = 11x -10 + 11x = 2(x + -8) + -9 Reorder the terms: -10 + 11x = 2(-8 + x) + -9 -10 + 11x = (-8 * 2 + x * 2) + -9 -10 + 11x = (-16 + 2x) + -9 Reorder the terms: -10 + 11x = -16 + -9 + 2x Combine like terms: -16 + -9 = -25 -10 + 11x = -25 + 2x Solving -10 + 11x = -25 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 11x + -2x = -25 + 2x + -2x Combine like terms: 11x + -2x = 9x -10 + 9x = -25 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 9x = -25 + 0 -10 + 9x = -25 Add '10' to each side of the equation. -10 + 10 + 9x = -25 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = -25 + 10 9x = -25 + 10 Combine like terms: -25 + 10 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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