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Simplifying 2(5x + -11) = (x + 1) + 15 + -6 Reorder the terms: 2(-11 + 5x) = (x + 1) + 15 + -6 (-11 * 2 + 5x * 2) = (x + 1) + 15 + -6 (-22 + 10x) = (x + 1) + 15 + -6 Reorder the terms: -22 + 10x = (1 + x) + 15 + -6 Remove parenthesis around (1 + x) -22 + 10x = 1 + x + 15 + -6 Reorder the terms: -22 + 10x = 1 + 15 + -6 + x Combine like terms: 1 + 15 = 16 -22 + 10x = 16 + -6 + x Combine like terms: 16 + -6 = 10 -22 + 10x = 10 + x Solving -22 + 10x = 10 + 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. -22 + 10x + -1x = 10 + x + -1x Combine like terms: 10x + -1x = 9x -22 + 9x = 10 + x + -1x Combine like terms: x + -1x = 0 -22 + 9x = 10 + 0 -22 + 9x = 10 Add '22' to each side of the equation. -22 + 22 + 9x = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 9x = 10 + 22 9x = 10 + 22 Combine like terms: 10 + 22 = 32 9x = 32 Divide each side by '9'. x = 3.555555556 Simplifying x = 3.555555556
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