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Simplifying 11x + -10 = 7 + 2(x + -1) Reorder the terms: -10 + 11x = 7 + 2(x + -1) Reorder the terms: -10 + 11x = 7 + 2(-1 + x) -10 + 11x = 7 + (-1 * 2 + x * 2) -10 + 11x = 7 + (-2 + 2x) Combine like terms: 7 + -2 = 5 -10 + 11x = 5 + 2x Solving -10 + 11x = 5 + 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. -10 + 11x + -2x = 5 + 2x + -2x Combine like terms: 11x + -2x = 9x -10 + 9x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 9x = 5 + 0 -10 + 9x = 5 Add '10' to each side of the equation. -10 + 10 + 9x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 5 + 10 9x = 5 + 10 Combine like terms: 5 + 10 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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