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Simplifying x(3x + -5) = (3x + 8)(x + -3) Reorder the terms: x(-5 + 3x) = (3x + 8)(x + -3) (-5 * x + 3x * x) = (3x + 8)(x + -3) (-5x + 3x2) = (3x + 8)(x + -3) Reorder the terms: -5x + 3x2 = (8 + 3x)(x + -3) Reorder the terms: -5x + 3x2 = (8 + 3x)(-3 + x) Multiply (8 + 3x) * (-3 + x) -5x + 3x2 = (8(-3 + x) + 3x * (-3 + x)) -5x + 3x2 = ((-3 * 8 + x * 8) + 3x * (-3 + x)) -5x + 3x2 = ((-24 + 8x) + 3x * (-3 + x)) -5x + 3x2 = (-24 + 8x + (-3 * 3x + x * 3x)) -5x + 3x2 = (-24 + 8x + (-9x + 3x2)) Combine like terms: 8x + -9x = -1x -5x + 3x2 = (-24 + -1x + 3x2) Add '-3x2' to each side of the equation. -5x + 3x2 + -3x2 = -24 + -1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -5x + 0 = -24 + -1x + 3x2 + -3x2 -5x = -24 + -1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -5x = -24 + -1x + 0 -5x = -24 + -1x Solving -5x = -24 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5x + x = -24 + -1x + x Combine like terms: -5x + x = -4x -4x = -24 + -1x + x Combine like terms: -1x + x = 0 -4x = -24 + 0 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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