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Simplifying 2(-6 + 4x) = 3(16 + -4x) (-6 * 2 + 4x * 2) = 3(16 + -4x) (-12 + 8x) = 3(16 + -4x) -12 + 8x = (16 * 3 + -4x * 3) -12 + 8x = (48 + -12x) Solving -12 + 8x = 48 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -12 + 8x + 12x = 48 + -12x + 12x Combine like terms: 8x + 12x = 20x -12 + 20x = 48 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 20x = 48 + 0 -12 + 20x = 48 Add '12' to each side of the equation. -12 + 12 + 20x = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 48 + 12 20x = 48 + 12 Combine like terms: 48 + 12 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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