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Simplifying -4(x + -6) = -8(-3 + 5x) Reorder the terms: -4(-6 + x) = -8(-3 + 5x) (-6 * -4 + x * -4) = -8(-3 + 5x) (24 + -4x) = -8(-3 + 5x) 24 + -4x = (-3 * -8 + 5x * -8) 24 + -4x = (24 + -40x) Add '-24' to each side of the equation. 24 + -24 + -4x = 24 + -24 + -40x Combine like terms: 24 + -24 = 0 0 + -4x = 24 + -24 + -40x -4x = 24 + -24 + -40x Combine like terms: 24 + -24 = 0 -4x = 0 + -40x -4x = -40x Solving -4x = -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -4x + 40x = -40x + 40x Combine like terms: -4x + 40x = 36x 36x = -40x + 40x Combine like terms: -40x + 40x = 0 36x = 0 Divide each side by '36'. x = 0 Simplifying x = 0
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