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Simplifying 7(11 + 6x) = 4(19x + -1) (11 * 7 + 6x * 7) = 4(19x + -1) (77 + 42x) = 4(19x + -1) Reorder the terms: 77 + 42x = 4(-1 + 19x) 77 + 42x = (-1 * 4 + 19x * 4) 77 + 42x = (-4 + 76x) Solving 77 + 42x = -4 + 76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76x' to each side of the equation. 77 + 42x + -76x = -4 + 76x + -76x Combine like terms: 42x + -76x = -34x 77 + -34x = -4 + 76x + -76x Combine like terms: 76x + -76x = 0 77 + -34x = -4 + 0 77 + -34x = -4 Add '-77' to each side of the equation. 77 + -77 + -34x = -4 + -77 Combine like terms: 77 + -77 = 0 0 + -34x = -4 + -77 -34x = -4 + -77 Combine like terms: -4 + -77 = -81 -34x = -81 Divide each side by '-34'. x = 2.382352941 Simplifying x = 2.382352941
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