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Simplifying x(6x + -4) = (6x + 8)(x + -3) Reorder the terms: x(-4 + 6x) = (6x + 8)(x + -3) (-4 * x + 6x * x) = (6x + 8)(x + -3) (-4x + 6x2) = (6x + 8)(x + -3) Reorder the terms: -4x + 6x2 = (8 + 6x)(x + -3) Reorder the terms: -4x + 6x2 = (8 + 6x)(-3 + x) Multiply (8 + 6x) * (-3 + x) -4x + 6x2 = (8(-3 + x) + 6x * (-3 + x)) -4x + 6x2 = ((-3 * 8 + x * 8) + 6x * (-3 + x)) -4x + 6x2 = ((-24 + 8x) + 6x * (-3 + x)) -4x + 6x2 = (-24 + 8x + (-3 * 6x + x * 6x)) -4x + 6x2 = (-24 + 8x + (-18x + 6x2)) Combine like terms: 8x + -18x = -10x -4x + 6x2 = (-24 + -10x + 6x2) Add '-6x2' to each side of the equation. -4x + 6x2 + -6x2 = -24 + -10x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4x + 0 = -24 + -10x + 6x2 + -6x2 -4x = -24 + -10x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4x = -24 + -10x + 0 -4x = -24 + -10x Solving -4x = -24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -4x + 10x = -24 + -10x + 10x Combine like terms: -4x + 10x = 6x 6x = -24 + -10x + 10x Combine like terms: -10x + 10x = 0 6x = -24 + 0 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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