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Simplifying 12(3x + -8) = (12x + 4) Reorder the terms: 12(-8 + 3x) = (12x + 4) (-8 * 12 + 3x * 12) = (12x + 4) (-96 + 36x) = (12x + 4) Reorder the terms: -96 + 36x = (4 + 12x) Remove parenthesis around (4 + 12x) -96 + 36x = 4 + 12x Solving -96 + 36x = 4 + 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. -96 + 36x + -12x = 4 + 12x + -12x Combine like terms: 36x + -12x = 24x -96 + 24x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -96 + 24x = 4 + 0 -96 + 24x = 4 Add '96' to each side of the equation. -96 + 96 + 24x = 4 + 96 Combine like terms: -96 + 96 = 0 0 + 24x = 4 + 96 24x = 4 + 96 Combine like terms: 4 + 96 = 100 24x = 100 Divide each side by '24'. x = 4.166666667 Simplifying x = 4.166666667
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