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Simplifying 2x + 10 + 5x + (-9) = x + 11 2x + 10 + 5x + -9 = x + 11 Reorder the terms: 10 + -9 + 2x + 5x = x + 11 Combine like terms: 10 + -9 = 1 1 + 2x + 5x = x + 11 Combine like terms: 2x + 5x = 7x 1 + 7x = x + 11 Reorder the terms: 1 + 7x = 11 + x Solving 1 + 7x = 11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 7x + -1x = 11 + x + -1x Combine like terms: 7x + -1x = 6x 1 + 6x = 11 + x + -1x Combine like terms: x + -1x = 0 1 + 6x = 11 + 0 1 + 6x = 11 Add '-1' to each side of the equation. 1 + -1 + 6x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 11 + -1 6x = 11 + -1 Combine like terms: 11 + -1 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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