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Simplifying -2(4x + -5) = -2(x + -10) Reorder the terms: -2(-5 + 4x) = -2(x + -10) (-5 * -2 + 4x * -2) = -2(x + -10) (10 + -8x) = -2(x + -10) Reorder the terms: 10 + -8x = -2(-10 + x) 10 + -8x = (-10 * -2 + x * -2) 10 + -8x = (20 + -2x) Solving 10 + -8x = 20 + -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 + -8x + 2x = 20 + -2x + 2x Combine like terms: -8x + 2x = -6x 10 + -6x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -6x = 20 + 0 10 + -6x = 20 Add '-10' to each side of the equation. 10 + -10 + -6x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 20 + -10 -6x = 20 + -10 Combine like terms: 20 + -10 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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