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Simplifying 3x(x + -1) + -24 = 2x2 + x2 + 3x Reorder the terms: 3x(-1 + x) + -24 = 2x2 + x2 + 3x (-1 * 3x + x * 3x) + -24 = 2x2 + x2 + 3x (-3x + 3x2) + -24 = 2x2 + x2 + 3x Reorder the terms: -24 + -3x + 3x2 = 2x2 + x2 + 3x Reorder the terms: -24 + -3x + 3x2 = 3x + 2x2 + x2 Combine like terms: 2x2 + x2 = 3x2 -24 + -3x + 3x2 = 3x + 3x2 Add '-3x2' to each side of the equation. -24 + -3x + 3x2 + -3x2 = 3x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -24 + -3x + 0 = 3x + 3x2 + -3x2 -24 + -3x = 3x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -24 + -3x = 3x + 0 -24 + -3x = 3x Solving -24 + -3x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + -3x + -3x = 3x + -3x Combine like terms: -3x + -3x = -6x -24 + -6x = 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -6x = 0 Add '24' to each side of the equation. -24 + 24 + -6x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 0 + 24 -6x = 0 + 24 Combine like terms: 0 + 24 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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