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Simplifying 4(2x + -6) = 6x Reorder the terms: 4(-6 + 2x) = 6x (-6 * 4 + 2x * 4) = 6x (-24 + 8x) = 6x Solving -24 + 8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x -24 + 2x = 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 2x = 0 Add '24' to each side of the equation. -24 + 24 + 2x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 0 + 24 2x = 0 + 24 Combine like terms: 0 + 24 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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