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Simplifying 3x(x + -8) = x(3x + -5) + 9 Reorder the terms: 3x(-8 + x) = x(3x + -5) + 9 (-8 * 3x + x * 3x) = x(3x + -5) + 9 (-24x + 3x2) = x(3x + -5) + 9 Reorder the terms: -24x + 3x2 = x(-5 + 3x) + 9 -24x + 3x2 = (-5 * x + 3x * x) + 9 -24x + 3x2 = (-5x + 3x2) + 9 Reorder the terms: -24x + 3x2 = 9 + -5x + 3x2 Add '-3x2' to each side of the equation. -24x + 3x2 + -3x2 = 9 + -5x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -24x + 0 = 9 + -5x + 3x2 + -3x2 -24x = 9 + -5x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -24x = 9 + -5x + 0 -24x = 9 + -5x Solving -24x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24x + 5x = 9 + -5x + 5x Combine like terms: -24x + 5x = -19x -19x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -19x = 9 + 0 -19x = 9 Divide each side by '-19'. x = -0.4736842105 Simplifying x = -0.4736842105
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