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Simplifying 4(3x + -6) = 20x + -2 + -10x Reorder the terms: 4(-6 + 3x) = 20x + -2 + -10x (-6 * 4 + 3x * 4) = 20x + -2 + -10x (-24 + 12x) = 20x + -2 + -10x Reorder the terms: -24 + 12x = -2 + 20x + -10x Combine like terms: 20x + -10x = 10x -24 + 12x = -2 + 10x Solving -24 + 12x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 12x + -10x = -2 + 10x + -10x Combine like terms: 12x + -10x = 2x -24 + 2x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 2x = -2 + 0 -24 + 2x = -2 Add '24' to each side of the equation. -24 + 24 + 2x = -2 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -2 + 24 2x = -2 + 24 Combine like terms: -2 + 24 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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