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Simplifying x(6x + -9) = (6x + 6)(x + -5) Reorder the terms: x(-9 + 6x) = (6x + 6)(x + -5) (-9 * x + 6x * x) = (6x + 6)(x + -5) (-9x + 6x2) = (6x + 6)(x + -5) Reorder the terms: -9x + 6x2 = (6 + 6x)(x + -5) Reorder the terms: -9x + 6x2 = (6 + 6x)(-5 + x) Multiply (6 + 6x) * (-5 + x) -9x + 6x2 = (6(-5 + x) + 6x * (-5 + x)) -9x + 6x2 = ((-5 * 6 + x * 6) + 6x * (-5 + x)) -9x + 6x2 = ((-30 + 6x) + 6x * (-5 + x)) -9x + 6x2 = (-30 + 6x + (-5 * 6x + x * 6x)) -9x + 6x2 = (-30 + 6x + (-30x + 6x2)) Combine like terms: 6x + -30x = -24x -9x + 6x2 = (-30 + -24x + 6x2) Add '-6x2' to each side of the equation. -9x + 6x2 + -6x2 = -30 + -24x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -9x + 0 = -30 + -24x + 6x2 + -6x2 -9x = -30 + -24x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -9x = -30 + -24x + 0 -9x = -30 + -24x Solving -9x = -30 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -9x + 24x = -30 + -24x + 24x Combine like terms: -9x + 24x = 15x 15x = -30 + -24x + 24x Combine like terms: -24x + 24x = 0 15x = -30 + 0 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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