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Simplifying 7(x + -2) = -3(x + 1) + 11 Reorder the terms: 7(-2 + x) = -3(x + 1) + 11 (-2 * 7 + x * 7) = -3(x + 1) + 11 (-14 + 7x) = -3(x + 1) + 11 Reorder the terms: -14 + 7x = -3(1 + x) + 11 -14 + 7x = (1 * -3 + x * -3) + 11 -14 + 7x = (-3 + -3x) + 11 Reorder the terms: -14 + 7x = -3 + 11 + -3x Combine like terms: -3 + 11 = 8 -14 + 7x = 8 + -3x Solving -14 + 7x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + 7x + 3x = 8 + -3x + 3x Combine like terms: 7x + 3x = 10x -14 + 10x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 10x = 8 + 0 -14 + 10x = 8 Add '14' to each side of the equation. -14 + 14 + 10x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 10x = 8 + 14 10x = 8 + 14 Combine like terms: 8 + 14 = 22 10x = 22 Divide each side by '10'. x = 2.2 Simplifying x = 2.2
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