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Simplifying 6x + -24 + 9x + -6 = 20x + 10 + -210 Reorder the terms: -24 + -6 + 6x + 9x = 20x + 10 + -210 Combine like terms: -24 + -6 = -30 -30 + 6x + 9x = 20x + 10 + -210 Combine like terms: 6x + 9x = 15x -30 + 15x = 20x + 10 + -210 Reorder the terms: -30 + 15x = 10 + -210 + 20x Combine like terms: 10 + -210 = -200 -30 + 15x = -200 + 20x Solving -30 + 15x = -200 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -30 + 15x + -20x = -200 + 20x + -20x Combine like terms: 15x + -20x = -5x -30 + -5x = -200 + 20x + -20x Combine like terms: 20x + -20x = 0 -30 + -5x = -200 + 0 -30 + -5x = -200 Add '30' to each side of the equation. -30 + 30 + -5x = -200 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = -200 + 30 -5x = -200 + 30 Combine like terms: -200 + 30 = -170 -5x = -170 Divide each side by '-5'. x = 34 Simplifying x = 34
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