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Simplifying 12(x + -8) = 4(5 + -2x) + 3(7 + -3x) Reorder the terms: 12(-8 + x) = 4(5 + -2x) + 3(7 + -3x) (-8 * 12 + x * 12) = 4(5 + -2x) + 3(7 + -3x) (-96 + 12x) = 4(5 + -2x) + 3(7 + -3x) -96 + 12x = (5 * 4 + -2x * 4) + 3(7 + -3x) -96 + 12x = (20 + -8x) + 3(7 + -3x) -96 + 12x = 20 + -8x + (7 * 3 + -3x * 3) -96 + 12x = 20 + -8x + (21 + -9x) Reorder the terms: -96 + 12x = 20 + 21 + -8x + -9x Combine like terms: 20 + 21 = 41 -96 + 12x = 41 + -8x + -9x Combine like terms: -8x + -9x = -17x -96 + 12x = 41 + -17x Solving -96 + 12x = 41 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -96 + 12x + 17x = 41 + -17x + 17x Combine like terms: 12x + 17x = 29x -96 + 29x = 41 + -17x + 17x Combine like terms: -17x + 17x = 0 -96 + 29x = 41 + 0 -96 + 29x = 41 Add '96' to each side of the equation. -96 + 96 + 29x = 41 + 96 Combine like terms: -96 + 96 = 0 0 + 29x = 41 + 96 29x = 41 + 96 Combine like terms: 41 + 96 = 137 29x = 137 Divide each side by '29'. x = 4.724137931 Simplifying x = 4.724137931
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