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Simplifying 12(2x + -8) = (5 + -2x) + 3(7 + -3x) Reorder the terms: 12(-8 + 2x) = (5 + -2x) + 3(7 + -3x) (-8 * 12 + 2x * 12) = (5 + -2x) + 3(7 + -3x) (-96 + 24x) = (5 + -2x) + 3(7 + -3x) Remove parenthesis around (5 + -2x) -96 + 24x = 5 + -2x + 3(7 + -3x) -96 + 24x = 5 + -2x + (7 * 3 + -3x * 3) -96 + 24x = 5 + -2x + (21 + -9x) Reorder the terms: -96 + 24x = 5 + 21 + -2x + -9x Combine like terms: 5 + 21 = 26 -96 + 24x = 26 + -2x + -9x Combine like terms: -2x + -9x = -11x -96 + 24x = 26 + -11x Solving -96 + 24x = 26 + -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 = 26 + -11x + 11x Combine like terms: 24x + 11x = 35x -96 + 35x = 26 + -11x + 11x Combine like terms: -11x + 11x = 0 -96 + 35x = 26 + 0 -96 + 35x = 26 Add '96' to each side of the equation. -96 + 96 + 35x = 26 + 96 Combine like terms: -96 + 96 = 0 0 + 35x = 26 + 96 35x = 26 + 96 Combine like terms: 26 + 96 = 122 35x = 122 Divide each side by '35'. x = 3.485714286 Simplifying x = 3.485714286
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