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Simplifying -6(-6x + -4) = 8(5x + 8) Reorder the terms: -6(-4 + -6x) = 8(5x + 8) (-4 * -6 + -6x * -6) = 8(5x + 8) (24 + 36x) = 8(5x + 8) Reorder the terms: 24 + 36x = 8(8 + 5x) 24 + 36x = (8 * 8 + 5x * 8) 24 + 36x = (64 + 40x) Solving 24 + 36x = 64 + 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. 24 + 36x + -40x = 64 + 40x + -40x Combine like terms: 36x + -40x = -4x 24 + -4x = 64 + 40x + -40x Combine like terms: 40x + -40x = 0 24 + -4x = 64 + 0 24 + -4x = 64 Add '-24' to each side of the equation. 24 + -24 + -4x = 64 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 64 + -24 -4x = 64 + -24 Combine like terms: 64 + -24 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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