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Simplifying 6(2x + 1) + -9(x + 4) = 0 Reorder the terms: 6(1 + 2x) + -9(x + 4) = 0 (1 * 6 + 2x * 6) + -9(x + 4) = 0 (6 + 12x) + -9(x + 4) = 0 Reorder the terms: 6 + 12x + -9(4 + x) = 0 6 + 12x + (4 * -9 + x * -9) = 0 6 + 12x + (-36 + -9x) = 0 Reorder the terms: 6 + -36 + 12x + -9x = 0 Combine like terms: 6 + -36 = -30 -30 + 12x + -9x = 0 Combine like terms: 12x + -9x = 3x -30 + 3x = 0 Solving -30 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 3x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 0 + 30 3x = 0 + 30 Combine like terms: 0 + 30 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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