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Simplifying 7(x + 3) + -9(x + 1) = 0 Reorder the terms: 7(3 + x) + -9(x + 1) = 0 (3 * 7 + x * 7) + -9(x + 1) = 0 (21 + 7x) + -9(x + 1) = 0 Reorder the terms: 21 + 7x + -9(1 + x) = 0 21 + 7x + (1 * -9 + x * -9) = 0 21 + 7x + (-9 + -9x) = 0 Reorder the terms: 21 + -9 + 7x + -9x = 0 Combine like terms: 21 + -9 = 12 12 + 7x + -9x = 0 Combine like terms: 7x + -9x = -2x 12 + -2x = 0 Solving 12 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 0 + -12 -2x = 0 + -12 Combine like terms: 0 + -12 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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