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Simplifying 4(3x + -6) = 2(2x + 18) Reorder the terms: 4(-6 + 3x) = 2(2x + 18) (-6 * 4 + 3x * 4) = 2(2x + 18) (-24 + 12x) = 2(2x + 18) Reorder the terms: -24 + 12x = 2(18 + 2x) -24 + 12x = (18 * 2 + 2x * 2) -24 + 12x = (36 + 4x) Solving -24 + 12x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 12x + -4x = 36 + 4x + -4x Combine like terms: 12x + -4x = 8x -24 + 8x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 8x = 36 + 0 -24 + 8x = 36 Add '24' to each side of the equation. -24 + 24 + 8x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 36 + 24 8x = 36 + 24 Combine like terms: 36 + 24 = 60 8x = 60 Divide each side by '8'. x = 7.5 Simplifying x = 7.5
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