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Simplifying 2(5x + -11) = 5x + 2(x + 1) + 15 + -6 Reorder the terms: 2(-11 + 5x) = 5x + 2(x + 1) + 15 + -6 (-11 * 2 + 5x * 2) = 5x + 2(x + 1) + 15 + -6 (-22 + 10x) = 5x + 2(x + 1) + 15 + -6 Reorder the terms: -22 + 10x = 5x + 2(1 + x) + 15 + -6 -22 + 10x = 5x + (1 * 2 + x * 2) + 15 + -6 -22 + 10x = 5x + (2 + 2x) + 15 + -6 Reorder the terms: -22 + 10x = 2 + 15 + -6 + 5x + 2x Combine like terms: 2 + 15 = 17 -22 + 10x = 17 + -6 + 5x + 2x Combine like terms: 17 + -6 = 11 -22 + 10x = 11 + 5x + 2x Combine like terms: 5x + 2x = 7x -22 + 10x = 11 + 7x Solving -22 + 10x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -22 + 10x + -7x = 11 + 7x + -7x Combine like terms: 10x + -7x = 3x -22 + 3x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -22 + 3x = 11 + 0 -22 + 3x = 11 Add '22' to each side of the equation. -22 + 22 + 3x = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = 11 + 22 3x = 11 + 22 Combine like terms: 11 + 22 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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