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Simplifying 2x + -24 = 3x + -12x + 20x + 30 Reorder the terms: -24 + 2x = 3x + -12x + 20x + 30 Reorder the terms: -24 + 2x = 30 + 3x + -12x + 20x Combine like terms: 3x + -12x = -9x -24 + 2x = 30 + -9x + 20x Combine like terms: -9x + 20x = 11x -24 + 2x = 30 + 11x Solving -24 + 2x = 30 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -24 + 2x + -11x = 30 + 11x + -11x Combine like terms: 2x + -11x = -9x -24 + -9x = 30 + 11x + -11x Combine like terms: 11x + -11x = 0 -24 + -9x = 30 + 0 -24 + -9x = 30 Add '24' to each side of the equation. -24 + 24 + -9x = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = 30 + 24 -9x = 30 + 24 Combine like terms: 30 + 24 = 54 -9x = 54 Divide each side by '-9'. x = -6 Simplifying x = -6
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