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Simplifying 4(2x + -3) + -9(x + 2) = 0 Reorder the terms: 4(-3 + 2x) + -9(x + 2) = 0 (-3 * 4 + 2x * 4) + -9(x + 2) = 0 (-12 + 8x) + -9(x + 2) = 0 Reorder the terms: -12 + 8x + -9(2 + x) = 0 -12 + 8x + (2 * -9 + x * -9) = 0 -12 + 8x + (-18 + -9x) = 0 Reorder the terms: -12 + -18 + 8x + -9x = 0 Combine like terms: -12 + -18 = -30 -30 + 8x + -9x = 0 Combine like terms: 8x + -9x = -1x -30 + -1x = 0 Solving -30 + -1x = 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 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30
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