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Simplifying 8x(x + -3) = 22 + 4x(5 + 2x) Reorder the terms: 8x(-3 + x) = 22 + 4x(5 + 2x) (-3 * 8x + x * 8x) = 22 + 4x(5 + 2x) (-24x + 8x2) = 22 + 4x(5 + 2x) -24x + 8x2 = 22 + (5 * 4x + 2x * 4x) -24x + 8x2 = 22 + (20x + 8x2) Add '-8x2' to each side of the equation. -24x + 8x2 + -8x2 = 22 + 20x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -24x + 0 = 22 + 20x + 8x2 + -8x2 -24x = 22 + 20x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -24x = 22 + 20x + 0 -24x = 22 + 20x Solving -24x = 22 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -24x + -20x = 22 + 20x + -20x Combine like terms: -24x + -20x = -44x -44x = 22 + 20x + -20x Combine like terms: 20x + -20x = 0 -44x = 22 + 0 -44x = 22 Divide each side by '-44'. x = -0.5 Simplifying x = -0.5
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