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Simplifying 0.78 = 7(11 + -1x) 0.78 = (11 * 7 + -1x * 7) 0.78 = (77 + -7x) Solving 0.78 = 77 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 0.78 + 7x = 77 + -7x + 7x Combine like terms: -7x + 7x = 0 0.78 + 7x = 77 + 0 0.78 + 7x = 77 Add '-0.78' to each side of the equation. 0.78 + -0.78 + 7x = 77 + -0.78 Combine like terms: 0.78 + -0.78 = 0.00 0.00 + 7x = 77 + -0.78 7x = 77 + -0.78 Combine like terms: 77 + -0.78 = 76.22 7x = 76.22 Divide each side by '7'. x = 10.88857143 Simplifying x = 10.88857143
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