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Simplifying 12(2x + -8) = 4(5x + -2x) + 3(7 + -3x) Reorder the terms: 12(-8 + 2x) = 4(5x + -2x) + 3(7 + -3x) (-8 * 12 + 2x * 12) = 4(5x + -2x) + 3(7 + -3x) (-96 + 24x) = 4(5x + -2x) + 3(7 + -3x) Combine like terms: 5x + -2x = 3x -96 + 24x = 4(3x) + 3(7 + -3x) Remove parenthesis around (3x) -96 + 24x = 4 * 3x + 3(7 + -3x) Multiply 4 * 3 -96 + 24x = 12x + 3(7 + -3x) -96 + 24x = 12x + (7 * 3 + -3x * 3) -96 + 24x = 12x + (21 + -9x) Reorder the terms: -96 + 24x = 21 + 12x + -9x Combine like terms: 12x + -9x = 3x -96 + 24x = 21 + 3x Solving -96 + 24x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -96 + 24x + -3x = 21 + 3x + -3x Combine like terms: 24x + -3x = 21x -96 + 21x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -96 + 21x = 21 + 0 -96 + 21x = 21 Add '96' to each side of the equation. -96 + 96 + 21x = 21 + 96 Combine like terms: -96 + 96 = 0 0 + 21x = 21 + 96 21x = 21 + 96 Combine like terms: 21 + 96 = 117 21x = 117 Divide each side by '21'. x = 5.571428571 Simplifying x = 5.571428571
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