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Simplifying 7(x + 1) + -6(x + 3) + 3 = 0 Reorder the terms: 7(1 + x) + -6(x + 3) + 3 = 0 (1 * 7 + x * 7) + -6(x + 3) + 3 = 0 (7 + 7x) + -6(x + 3) + 3 = 0 Reorder the terms: 7 + 7x + -6(3 + x) + 3 = 0 7 + 7x + (3 * -6 + x * -6) + 3 = 0 7 + 7x + (-18 + -6x) + 3 = 0 Reorder the terms: 7 + -18 + 3 + 7x + -6x = 0 Combine like terms: 7 + -18 = -11 -11 + 3 + 7x + -6x = 0 Combine like terms: -11 + 3 = -8 -8 + 7x + -6x = 0 Combine like terms: 7x + -6x = 1x -8 + 1x = 0 Solving -8 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 0 + 8 1x = 0 + 8 Combine like terms: 0 + 8 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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