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Simplifying 4(3x + -6) = 2(x + 8) Reorder the terms: 4(-6 + 3x) = 2(x + 8) (-6 * 4 + 3x * 4) = 2(x + 8) (-24 + 12x) = 2(x + 8) Reorder the terms: -24 + 12x = 2(8 + x) -24 + 12x = (8 * 2 + x * 2) -24 + 12x = (16 + 2x) Solving -24 + 12x = 16 + 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 + 12x + -2x = 16 + 2x + -2x Combine like terms: 12x + -2x = 10x -24 + 10x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 10x = 16 + 0 -24 + 10x = 16 Add '24' to each side of the equation. -24 + 24 + 10x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 16 + 24 10x = 16 + 24 Combine like terms: 16 + 24 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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