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Simplifying -2(-4x + 5) = -6(-5x + -4) Reorder the terms: -2(5 + -4x) = -6(-5x + -4) (5 * -2 + -4x * -2) = -6(-5x + -4) (-10 + 8x) = -6(-5x + -4) Reorder the terms: -10 + 8x = -6(-4 + -5x) -10 + 8x = (-4 * -6 + -5x * -6) -10 + 8x = (24 + 30x) Solving -10 + 8x = 24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -10 + 8x + -30x = 24 + 30x + -30x Combine like terms: 8x + -30x = -22x -10 + -22x = 24 + 30x + -30x Combine like terms: 30x + -30x = 0 -10 + -22x = 24 + 0 -10 + -22x = 24 Add '10' to each side of the equation. -10 + 10 + -22x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + -22x = 24 + 10 -22x = 24 + 10 Combine like terms: 24 + 10 = 34 -22x = 34 Divide each side by '-22'. x = -1.545454545 Simplifying x = -1.545454545
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