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Simplifying 11 + -4x = 7(-7 + 6x) 11 + -4x = (-7 * 7 + 6x * 7) 11 + -4x = (-49 + 42x) Solving 11 + -4x = -49 + 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. 11 + -4x + -42x = -49 + 42x + -42x Combine like terms: -4x + -42x = -46x 11 + -46x = -49 + 42x + -42x Combine like terms: 42x + -42x = 0 11 + -46x = -49 + 0 11 + -46x = -49 Add '-11' to each side of the equation. 11 + -11 + -46x = -49 + -11 Combine like terms: 11 + -11 = 0 0 + -46x = -49 + -11 -46x = -49 + -11 Combine like terms: -49 + -11 = -60 -46x = -60 Divide each side by '-46'. x = 1.304347826 Simplifying x = 1.304347826
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