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Simplifying 9(x + 1) + -3(2x + -4) = 0 Reorder the terms: 9(1 + x) + -3(2x + -4) = 0 (1 * 9 + x * 9) + -3(2x + -4) = 0 (9 + 9x) + -3(2x + -4) = 0 Reorder the terms: 9 + 9x + -3(-4 + 2x) = 0 9 + 9x + (-4 * -3 + 2x * -3) = 0 9 + 9x + (12 + -6x) = 0 Reorder the terms: 9 + 12 + 9x + -6x = 0 Combine like terms: 9 + 12 = 21 21 + 9x + -6x = 0 Combine like terms: 9x + -6x = 3x 21 + 3x = 0 Solving 21 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 0 + -21 3x = 0 + -21 Combine like terms: 0 + -21 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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