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Simplifying 24 + 21x + -9x = 15x + 6 + 24 Combine like terms: 21x + -9x = 12x 24 + 12x = 15x + 6 + 24 Reorder the terms: 24 + 12x = 6 + 24 + 15x Combine like terms: 6 + 24 = 30 24 + 12x = 30 + 15x Solving 24 + 12x = 30 + 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. 24 + 12x + -15x = 30 + 15x + -15x Combine like terms: 12x + -15x = -3x 24 + -3x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -3x = 30 + 0 24 + -3x = 30 Add '-24' to each side of the equation. 24 + -24 + -3x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 30 + -24 -3x = 30 + -24 Combine like terms: 30 + -24 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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