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Simplifying 12(5 + -1x) = 7 + -1(1 + 3x) (5 * 12 + -1x * 12) = 7 + -1(1 + 3x) (60 + -12x) = 7 + -1(1 + 3x) 60 + -12x = 7 + (1 * -1 + 3x * -1) 60 + -12x = 7 + (-1 + -3x) Combine like terms: 7 + -1 = 6 60 + -12x = 6 + -3x Solving 60 + -12x = 6 + -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. 60 + -12x + 3x = 6 + -3x + 3x Combine like terms: -12x + 3x = -9x 60 + -9x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 60 + -9x = 6 + 0 60 + -9x = 6 Add '-60' to each side of the equation. 60 + -60 + -9x = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -9x = 6 + -60 -9x = 6 + -60 Combine like terms: 6 + -60 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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