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Simplifying x(4x + -6) + -9 = -3(-5x + 3) + 4x2 Reorder the terms: x(-6 + 4x) + -9 = -3(-5x + 3) + 4x2 (-6 * x + 4x * x) + -9 = -3(-5x + 3) + 4x2 (-6x + 4x2) + -9 = -3(-5x + 3) + 4x2 Reorder the terms: -9 + -6x + 4x2 = -3(-5x + 3) + 4x2 Reorder the terms: -9 + -6x + 4x2 = -3(3 + -5x) + 4x2 -9 + -6x + 4x2 = (3 * -3 + -5x * -3) + 4x2 -9 + -6x + 4x2 = (-9 + 15x) + 4x2 Add '9' to each side of the equation. -9 + -6x + 9 + 4x2 = -9 + 15x + 9 + 4x2 Reorder the terms: -9 + 9 + -6x + 4x2 = -9 + 15x + 9 + 4x2 Combine like terms: -9 + 9 = 0 0 + -6x + 4x2 = -9 + 15x + 9 + 4x2 -6x + 4x2 = -9 + 15x + 9 + 4x2 Reorder the terms: -6x + 4x2 = -9 + 9 + 15x + 4x2 Combine like terms: -9 + 9 = 0 -6x + 4x2 = 0 + 15x + 4x2 -6x + 4x2 = 15x + 4x2 Add '-4x2' to each side of the equation. -6x + 4x2 + -4x2 = 15x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x + 0 = 15x + 4x2 + -4x2 -6x = 15x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x = 15x + 0 -6x = 15x Solving -6x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6x + -15x = 15x + -15x Combine like terms: -6x + -15x = -21x -21x = 15x + -15x Combine like terms: 15x + -15x = 0 -21x = 0 Divide each side by '-21'. x = 0 Simplifying x = 0
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