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Simplifying 6(7x + 2) = -1(4 + -5x) Reorder the terms: 6(2 + 7x) = -1(4 + -5x) (2 * 6 + 7x * 6) = -1(4 + -5x) (12 + 42x) = -1(4 + -5x) 12 + 42x = (4 * -1 + -5x * -1) 12 + 42x = (-4 + 5x) Solving 12 + 42x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 42x + -5x = -4 + 5x + -5x Combine like terms: 42x + -5x = 37x 12 + 37x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 37x = -4 + 0 12 + 37x = -4 Add '-12' to each side of the equation. 12 + -12 + 37x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 37x = -4 + -12 37x = -4 + -12 Combine like terms: -4 + -12 = -16 37x = -16 Divide each side by '37'. x = -0.4324324324 Simplifying x = -0.4324324324
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