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Simplifying 7(x + -2) + -2(x + 1) = -11 Reorder the terms: 7(-2 + x) + -2(x + 1) = -11 (-2 * 7 + x * 7) + -2(x + 1) = -11 (-14 + 7x) + -2(x + 1) = -11 Reorder the terms: -14 + 7x + -2(1 + x) = -11 -14 + 7x + (1 * -2 + x * -2) = -11 -14 + 7x + (-2 + -2x) = -11 Reorder the terms: -14 + -2 + 7x + -2x = -11 Combine like terms: -14 + -2 = -16 -16 + 7x + -2x = -11 Combine like terms: 7x + -2x = 5x -16 + 5x = -11 Solving -16 + 5x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 5x = -11 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = -11 + 16 5x = -11 + 16 Combine like terms: -11 + 16 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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