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Simplifying 15x + -9 + -9x + 24 = 24x + -12 + 3x Reorder the terms: -9 + 24 + 15x + -9x = 24x + -12 + 3x Combine like terms: -9 + 24 = 15 15 + 15x + -9x = 24x + -12 + 3x Combine like terms: 15x + -9x = 6x 15 + 6x = 24x + -12 + 3x Reorder the terms: 15 + 6x = -12 + 24x + 3x Combine like terms: 24x + 3x = 27x 15 + 6x = -12 + 27x Solving 15 + 6x = -12 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 15 + 6x + -27x = -12 + 27x + -27x Combine like terms: 6x + -27x = -21x 15 + -21x = -12 + 27x + -27x Combine like terms: 27x + -27x = 0 15 + -21x = -12 + 0 15 + -21x = -12 Add '-15' to each side of the equation. 15 + -15 + -21x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -21x = -12 + -15 -21x = -12 + -15 Combine like terms: -12 + -15 = -27 -21x = -27 Divide each side by '-21'. x = 1.285714286 Simplifying x = 1.285714286
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