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Simplifying 7(x + -2) + 4(x + 1) = 0 Reorder the terms: 7(-2 + x) + 4(x + 1) = 0 (-2 * 7 + x * 7) + 4(x + 1) = 0 (-14 + 7x) + 4(x + 1) = 0 Reorder the terms: -14 + 7x + 4(1 + x) = 0 -14 + 7x + (1 * 4 + x * 4) = 0 -14 + 7x + (4 + 4x) = 0 Reorder the terms: -14 + 4 + 7x + 4x = 0 Combine like terms: -14 + 4 = -10 -10 + 7x + 4x = 0 Combine like terms: 7x + 4x = 11x -10 + 11x = 0 Solving -10 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 11x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 0 + 10 11x = 0 + 10 Combine like terms: 0 + 10 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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