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Simplifying 12(-1x + 3) = 7(-6x + 8) Reorder the terms: 12(3 + -1x) = 7(-6x + 8) (3 * 12 + -1x * 12) = 7(-6x + 8) (36 + -12x) = 7(-6x + 8) Reorder the terms: 36 + -12x = 7(8 + -6x) 36 + -12x = (8 * 7 + -6x * 7) 36 + -12x = (56 + -42x) Solving 36 + -12x = 56 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 36 + -12x + 42x = 56 + -42x + 42x Combine like terms: -12x + 42x = 30x 36 + 30x = 56 + -42x + 42x Combine like terms: -42x + 42x = 0 36 + 30x = 56 + 0 36 + 30x = 56 Add '-36' to each side of the equation. 36 + -36 + 30x = 56 + -36 Combine like terms: 36 + -36 = 0 0 + 30x = 56 + -36 30x = 56 + -36 Combine like terms: 56 + -36 = 20 30x = 20 Divide each side by '30'. x = 0.6666666667 Simplifying x = 0.6666666667
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