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Simplifying 5(x + -1) + 2(x + 1) = 11 + -2x Reorder the terms: 5(-1 + x) + 2(x + 1) = 11 + -2x (-1 * 5 + x * 5) + 2(x + 1) = 11 + -2x (-5 + 5x) + 2(x + 1) = 11 + -2x Reorder the terms: -5 + 5x + 2(1 + x) = 11 + -2x -5 + 5x + (1 * 2 + x * 2) = 11 + -2x -5 + 5x + (2 + 2x) = 11 + -2x Reorder the terms: -5 + 2 + 5x + 2x = 11 + -2x Combine like terms: -5 + 2 = -3 -3 + 5x + 2x = 11 + -2x Combine like terms: 5x + 2x = 7x -3 + 7x = 11 + -2x Solving -3 + 7x = 11 + -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. -3 + 7x + 2x = 11 + -2x + 2x Combine like terms: 7x + 2x = 9x -3 + 9x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 9x = 11 + 0 -3 + 9x = 11 Add '3' to each side of the equation. -3 + 3 + 9x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 11 + 3 9x = 11 + 3 Combine like terms: 11 + 3 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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