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Simplifying 6(4x + 6) = 6(-8x + -4) Reorder the terms: 6(6 + 4x) = 6(-8x + -4) (6 * 6 + 4x * 6) = 6(-8x + -4) (36 + 24x) = 6(-8x + -4) Reorder the terms: 36 + 24x = 6(-4 + -8x) 36 + 24x = (-4 * 6 + -8x * 6) 36 + 24x = (-24 + -48x) Solving 36 + 24x = -24 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 36 + 24x + 48x = -24 + -48x + 48x Combine like terms: 24x + 48x = 72x 36 + 72x = -24 + -48x + 48x Combine like terms: -48x + 48x = 0 36 + 72x = -24 + 0 36 + 72x = -24 Add '-36' to each side of the equation. 36 + -36 + 72x = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 72x = -24 + -36 72x = -24 + -36 Combine like terms: -24 + -36 = -60 72x = -60 Divide each side by '72'. x = -0.8333333333 Simplifying x = -0.8333333333
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