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Simplifying 3(3x + -8) + -4(x + -5) = 6 Reorder the terms: 3(-8 + 3x) + -4(x + -5) = 6 (-8 * 3 + 3x * 3) + -4(x + -5) = 6 (-24 + 9x) + -4(x + -5) = 6 Reorder the terms: -24 + 9x + -4(-5 + x) = 6 -24 + 9x + (-5 * -4 + x * -4) = 6 -24 + 9x + (20 + -4x) = 6 Reorder the terms: -24 + 20 + 9x + -4x = 6 Combine like terms: -24 + 20 = -4 -4 + 9x + -4x = 6 Combine like terms: 9x + -4x = 5x -4 + 5x = 6 Solving -4 + 5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 6 + 4 5x = 6 + 4 Combine like terms: 6 + 4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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