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Simplifying 12(3x + -1) = 14(x + 8) Reorder the terms: 12(-1 + 3x) = 14(x + 8) (-1 * 12 + 3x * 12) = 14(x + 8) (-12 + 36x) = 14(x + 8) Reorder the terms: -12 + 36x = 14(8 + x) -12 + 36x = (8 * 14 + x * 14) -12 + 36x = (112 + 14x) Solving -12 + 36x = 112 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -12 + 36x + -14x = 112 + 14x + -14x Combine like terms: 36x + -14x = 22x -12 + 22x = 112 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + 22x = 112 + 0 -12 + 22x = 112 Add '12' to each side of the equation. -12 + 12 + 22x = 112 + 12 Combine like terms: -12 + 12 = 0 0 + 22x = 112 + 12 22x = 112 + 12 Combine like terms: 112 + 12 = 124 22x = 124 Divide each side by '22'. x = 5.636363636 Simplifying x = 5.636363636
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