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Simplifying 8(3x + -6) + 4(9 + -5x) = 0 Reorder the terms: 8(-6 + 3x) + 4(9 + -5x) = 0 (-6 * 8 + 3x * 8) + 4(9 + -5x) = 0 (-48 + 24x) + 4(9 + -5x) = 0 -48 + 24x + (9 * 4 + -5x * 4) = 0 -48 + 24x + (36 + -20x) = 0 Reorder the terms: -48 + 36 + 24x + -20x = 0 Combine like terms: -48 + 36 = -12 -12 + 24x + -20x = 0 Combine like terms: 24x + -20x = 4x -12 + 4x = 0 Solving -12 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 0 + 12 4x = 0 + 12 Combine like terms: 0 + 12 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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