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Simplifying 5x(x + -6) = 9 + (x + -2)(5x + -2) Reorder the terms: 5x(-6 + x) = 9 + (x + -2)(5x + -2) (-6 * 5x + x * 5x) = 9 + (x + -2)(5x + -2) (-30x + 5x2) = 9 + (x + -2)(5x + -2) Reorder the terms: -30x + 5x2 = 9 + (-2 + x)(5x + -2) Reorder the terms: -30x + 5x2 = 9 + (-2 + x)(-2 + 5x) Multiply (-2 + x) * (-2 + 5x) -30x + 5x2 = 9 + (-2(-2 + 5x) + x(-2 + 5x)) -30x + 5x2 = 9 + ((-2 * -2 + 5x * -2) + x(-2 + 5x)) -30x + 5x2 = 9 + ((4 + -10x) + x(-2 + 5x)) -30x + 5x2 = 9 + (4 + -10x + (-2 * x + 5x * x)) -30x + 5x2 = 9 + (4 + -10x + (-2x + 5x2)) Combine like terms: -10x + -2x = -12x -30x + 5x2 = 9 + (4 + -12x + 5x2) Combine like terms: 9 + 4 = 13 -30x + 5x2 = 13 + -12x + 5x2 Add '-5x2' to each side of the equation. -30x + 5x2 + -5x2 = 13 + -12x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -30x + 0 = 13 + -12x + 5x2 + -5x2 -30x = 13 + -12x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -30x = 13 + -12x + 0 -30x = 13 + -12x Solving -30x = 13 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -30x + 12x = 13 + -12x + 12x Combine like terms: -30x + 12x = -18x -18x = 13 + -12x + 12x Combine like terms: -12x + 12x = 0 -18x = 13 + 0 -18x = 13 Divide each side by '-18'. x = -0.7222222222 Simplifying x = -0.7222222222
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