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Simplifying 6(x + -3) + -9(x + 2) = 0 Reorder the terms: 6(-3 + x) + -9(x + 2) = 0 (-3 * 6 + x * 6) + -9(x + 2) = 0 (-18 + 6x) + -9(x + 2) = 0 Reorder the terms: -18 + 6x + -9(2 + x) = 0 -18 + 6x + (2 * -9 + x * -9) = 0 -18 + 6x + (-18 + -9x) = 0 Reorder the terms: -18 + -18 + 6x + -9x = 0 Combine like terms: -18 + -18 = -36 -36 + 6x + -9x = 0 Combine like terms: 6x + -9x = -3x -36 + -3x = 0 Solving -36 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -3x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -3x = 0 + 36 -3x = 0 + 36 Combine like terms: 0 + 36 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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