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Simplifying 15x + -24 + 3x = 15x + -12 + -9x Reorder the terms: -24 + 15x + 3x = 15x + -12 + -9x Combine like terms: 15x + 3x = 18x -24 + 18x = 15x + -12 + -9x Reorder the terms: -24 + 18x = -12 + 15x + -9x Combine like terms: 15x + -9x = 6x -24 + 18x = -12 + 6x Solving -24 + 18x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 18x + -6x = -12 + 6x + -6x Combine like terms: 18x + -6x = 12x -24 + 12x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 12x = -12 + 0 -24 + 12x = -12 Add '24' to each side of the equation. -24 + 24 + 12x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = -12 + 24 12x = -12 + 24 Combine like terms: -12 + 24 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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