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Simplifying 7(11x + 22) + x = -10x Reorder the terms: 7(22 + 11x) + x = -10x (22 * 7 + 11x * 7) + x = -10x (154 + 77x) + x = -10x Combine like terms: 77x + x = 78x 154 + 78x = -10x Solving 154 + 78x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 154 + 78x + 10x = -10x + 10x Combine like terms: 78x + 10x = 88x 154 + 88x = -10x + 10x Combine like terms: -10x + 10x = 0 154 + 88x = 0 Add '-154' to each side of the equation. 154 + -154 + 88x = 0 + -154 Combine like terms: 154 + -154 = 0 0 + 88x = 0 + -154 88x = 0 + -154 Combine like terms: 0 + -154 = -154 88x = -154 Divide each side by '88'. x = -1.75 Simplifying x = -1.75
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