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Simplifying -3(3x + 6) + 4(x + -8) = 0 Reorder the terms: -3(6 + 3x) + 4(x + -8) = 0 (6 * -3 + 3x * -3) + 4(x + -8) = 0 (-18 + -9x) + 4(x + -8) = 0 Reorder the terms: -18 + -9x + 4(-8 + x) = 0 -18 + -9x + (-8 * 4 + x * 4) = 0 -18 + -9x + (-32 + 4x) = 0 Reorder the terms: -18 + -32 + -9x + 4x = 0 Combine like terms: -18 + -32 = -50 -50 + -9x + 4x = 0 Combine like terms: -9x + 4x = -5x -50 + -5x = 0 Solving -50 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -5x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -5x = 0 + 50 -5x = 0 + 50 Combine like terms: 0 + 50 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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