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Simplifying -1x + 11 = 5x + 12 + -1(7x + -2) Reorder the terms: 11 + -1x = 5x + 12 + -1(7x + -2) Reorder the terms: 11 + -1x = 5x + 12 + -1(-2 + 7x) 11 + -1x = 5x + 12 + (-2 * -1 + 7x * -1) 11 + -1x = 5x + 12 + (2 + -7x) Reorder the terms: 11 + -1x = 12 + 2 + 5x + -7x Combine like terms: 12 + 2 = 14 11 + -1x = 14 + 5x + -7x Combine like terms: 5x + -7x = -2x 11 + -1x = 14 + -2x Solving 11 + -1x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 11 + -1x + 2x = 14 + -2x + 2x Combine like terms: -1x + 2x = 1x 11 + 1x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 1x = 14 + 0 11 + 1x = 14 Add '-11' to each side of the equation. 11 + -11 + 1x = 14 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 14 + -11 1x = 14 + -11 Combine like terms: 14 + -11 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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