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Simplifying -12x(-4x + 6) + -15(15x + 17) + 9 = -24x(-2x + -5) Reorder the terms: -12x(6 + -4x) + -15(15x + 17) + 9 = -24x(-2x + -5) (6 * -12x + -4x * -12x) + -15(15x + 17) + 9 = -24x(-2x + -5) (-72x + 48x2) + -15(15x + 17) + 9 = -24x(-2x + -5) Reorder the terms: -72x + 48x2 + -15(17 + 15x) + 9 = -24x(-2x + -5) -72x + 48x2 + (17 * -15 + 15x * -15) + 9 = -24x(-2x + -5) -72x + 48x2 + (-255 + -225x) + 9 = -24x(-2x + -5) Reorder the terms: -255 + 9 + -72x + -225x + 48x2 = -24x(-2x + -5) Combine like terms: -255 + 9 = -246 -246 + -72x + -225x + 48x2 = -24x(-2x + -5) Combine like terms: -72x + -225x = -297x -246 + -297x + 48x2 = -24x(-2x + -5) Reorder the terms: -246 + -297x + 48x2 = -24x(-5 + -2x) -246 + -297x + 48x2 = (-5 * -24x + -2x * -24x) -246 + -297x + 48x2 = (120x + 48x2) Add '-48x2' to each side of the equation. -246 + -297x + 48x2 + -48x2 = 120x + 48x2 + -48x2 Combine like terms: 48x2 + -48x2 = 0 -246 + -297x + 0 = 120x + 48x2 + -48x2 -246 + -297x = 120x + 48x2 + -48x2 Combine like terms: 48x2 + -48x2 = 0 -246 + -297x = 120x + 0 -246 + -297x = 120x Solving -246 + -297x = 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. -246 + -297x + -120x = 120x + -120x Combine like terms: -297x + -120x = -417x -246 + -417x = 120x + -120x Combine like terms: 120x + -120x = 0 -246 + -417x = 0 Add '246' to each side of the equation. -246 + 246 + -417x = 0 + 246 Combine like terms: -246 + 246 = 0 0 + -417x = 0 + 246 -417x = 0 + 246 Combine like terms: 0 + 246 = 246 -417x = 246 Divide each side by '-417'. x = -0.5899280576 Simplifying x = -0.5899280576
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