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Simplifying -6(x + -3) + 9(x + -4) = 0 Reorder the terms: -6(-3 + x) + 9(x + -4) = 0 (-3 * -6 + x * -6) + 9(x + -4) = 0 (18 + -6x) + 9(x + -4) = 0 Reorder the terms: 18 + -6x + 9(-4 + x) = 0 18 + -6x + (-4 * 9 + x * 9) = 0 18 + -6x + (-36 + 9x) = 0 Reorder the terms: 18 + -36 + -6x + 9x = 0 Combine like terms: 18 + -36 = -18 -18 + -6x + 9x = 0 Combine like terms: -6x + 9x = 3x -18 + 3x = 0 Solving -18 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 0 + 18 3x = 0 + 18 Combine like terms: 0 + 18 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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