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Simplifying 4(2x + -6) = 24 + 2x Reorder the terms: 4(-6 + 2x) = 24 + 2x (-6 * 4 + 2x * 4) = 24 + 2x (-24 + 8x) = 24 + 2x Solving -24 + 8x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 8x + -2x = 24 + 2x + -2x Combine like terms: 8x + -2x = 6x -24 + 6x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 6x = 24 + 0 -24 + 6x = 24 Add '24' to each side of the equation. -24 + 24 + 6x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 24 + 24 6x = 24 + 24 Combine like terms: 24 + 24 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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