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Simplifying 2(4x + -3) = 4(2 + -1x) Reorder the terms: 2(-3 + 4x) = 4(2 + -1x) (-3 * 2 + 4x * 2) = 4(2 + -1x) (-6 + 8x) = 4(2 + -1x) -6 + 8x = (2 * 4 + -1x * 4) -6 + 8x = (8 + -4x) Solving -6 + 8x = 8 + -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. -6 + 8x + 4x = 8 + -4x + 4x Combine like terms: 8x + 4x = 12x -6 + 12x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 12x = 8 + 0 -6 + 12x = 8 Add '6' to each side of the equation. -6 + 6 + 12x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 8 + 6 12x = 8 + 6 Combine like terms: 8 + 6 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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