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Simplifying -1x + 11 = 5 + 12 + -1(7x + -2) Reorder the terms: 11 + -1x = 5 + 12 + -1(7x + -2) Reorder the terms: 11 + -1x = 5 + 12 + -1(-2 + 7x) 11 + -1x = 5 + 12 + (-2 * -1 + 7x * -1) 11 + -1x = 5 + 12 + (2 + -7x) Combine like terms: 5 + 12 = 17 11 + -1x = 17 + 2 + -7x Combine like terms: 17 + 2 = 19 11 + -1x = 19 + -7x Solving 11 + -1x = 19 + -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. 11 + -1x + 7x = 19 + -7x + 7x Combine like terms: -1x + 7x = 6x 11 + 6x = 19 + -7x + 7x Combine like terms: -7x + 7x = 0 11 + 6x = 19 + 0 11 + 6x = 19 Add '-11' to each side of the equation. 11 + -11 + 6x = 19 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 19 + -11 6x = 19 + -11 Combine like terms: 19 + -11 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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