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Simplifying 6(-6x + 4) = -8(4x + -6) Reorder the terms: 6(4 + -6x) = -8(4x + -6) (4 * 6 + -6x * 6) = -8(4x + -6) (24 + -36x) = -8(4x + -6) Reorder the terms: 24 + -36x = -8(-6 + 4x) 24 + -36x = (-6 * -8 + 4x * -8) 24 + -36x = (48 + -32x) Solving 24 + -36x = 48 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 24 + -36x + 32x = 48 + -32x + 32x Combine like terms: -36x + 32x = -4x 24 + -4x = 48 + -32x + 32x Combine like terms: -32x + 32x = 0 24 + -4x = 48 + 0 24 + -4x = 48 Add '-24' to each side of the equation. 24 + -24 + -4x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 48 + -24 -4x = 48 + -24 Combine like terms: 48 + -24 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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