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Simplifying 4(x + -6) = -8(3 + 6x) Reorder the terms: 4(-6 + x) = -8(3 + 6x) (-6 * 4 + x * 4) = -8(3 + 6x) (-24 + 4x) = -8(3 + 6x) -24 + 4x = (3 * -8 + 6x * -8) -24 + 4x = (-24 + -48x) Add '24' to each side of the equation. -24 + 24 + 4x = -24 + 24 + -48x Combine like terms: -24 + 24 = 0 0 + 4x = -24 + 24 + -48x 4x = -24 + 24 + -48x Combine like terms: -24 + 24 = 0 4x = 0 + -48x 4x = -48x Solving 4x = -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. 4x + 48x = -48x + 48x Combine like terms: 4x + 48x = 52x 52x = -48x + 48x Combine like terms: -48x + 48x = 0 52x = 0 Divide each side by '52'. x = 0 Simplifying x = 0
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