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Simplifying 12(2x + -8) = 4(5 + -2x) + (7 + -3x) Reorder the terms: 12(-8 + 2x) = 4(5 + -2x) + (7 + -3x) (-8 * 12 + 2x * 12) = 4(5 + -2x) + (7 + -3x) (-96 + 24x) = 4(5 + -2x) + (7 + -3x) -96 + 24x = (5 * 4 + -2x * 4) + (7 + -3x) -96 + 24x = (20 + -8x) + (7 + -3x) Remove parenthesis around (7 + -3x) -96 + 24x = 20 + -8x + 7 + -3x Reorder the terms: -96 + 24x = 20 + 7 + -8x + -3x Combine like terms: 20 + 7 = 27 -96 + 24x = 27 + -8x + -3x Combine like terms: -8x + -3x = -11x -96 + 24x = 27 + -11x Solving -96 + 24x = 27 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -96 + 24x + 11x = 27 + -11x + 11x Combine like terms: 24x + 11x = 35x -96 + 35x = 27 + -11x + 11x Combine like terms: -11x + 11x = 0 -96 + 35x = 27 + 0 -96 + 35x = 27 Add '96' to each side of the equation. -96 + 96 + 35x = 27 + 96 Combine like terms: -96 + 96 = 0 0 + 35x = 27 + 96 35x = 27 + 96 Combine like terms: 27 + 96 = 123 35x = 123 Divide each side by '35'. x = 3.514285714 Simplifying x = 3.514285714
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