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Simplifying 7(x + 1) + -6(x + 3) = 0 Reorder the terms: 7(1 + x) + -6(x + 3) = 0 (1 * 7 + x * 7) + -6(x + 3) = 0 (7 + 7x) + -6(x + 3) = 0 Reorder the terms: 7 + 7x + -6(3 + x) = 0 7 + 7x + (3 * -6 + x * -6) = 0 7 + 7x + (-18 + -6x) = 0 Reorder the terms: 7 + -18 + 7x + -6x = 0 Combine like terms: 7 + -18 = -11 -11 + 7x + -6x = 0 Combine like terms: 7x + -6x = 1x -11 + 1x = 0 Solving -11 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 0 + 11 1x = 0 + 11 Combine like terms: 0 + 11 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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