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Simplifying 3x(2x + 8) + -3x(x + -3) = x(3x + -4) Reorder the terms: 3x(8 + 2x) + -3x(x + -3) = x(3x + -4) (8 * 3x + 2x * 3x) + -3x(x + -3) = x(3x + -4) (24x + 6x2) + -3x(x + -3) = x(3x + -4) Reorder the terms: 24x + 6x2 + -3x(-3 + x) = x(3x + -4) 24x + 6x2 + (-3 * -3x + x * -3x) = x(3x + -4) 24x + 6x2 + (9x + -3x2) = x(3x + -4) Reorder the terms: 24x + 9x + 6x2 + -3x2 = x(3x + -4) Combine like terms: 24x + 9x = 33x 33x + 6x2 + -3x2 = x(3x + -4) Combine like terms: 6x2 + -3x2 = 3x2 33x + 3x2 = x(3x + -4) Reorder the terms: 33x + 3x2 = x(-4 + 3x) 33x + 3x2 = (-4 * x + 3x * x) 33x + 3x2 = (-4x + 3x2) Add '-3x2' to each side of the equation. 33x + 3x2 + -3x2 = -4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 33x + 0 = -4x + 3x2 + -3x2 33x = -4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 33x = -4x + 0 33x = -4x Solving 33x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 33x + 4x = -4x + 4x Combine like terms: 33x + 4x = 37x 37x = -4x + 4x Combine like terms: -4x + 4x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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