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Simplifying 8x + 24 + -3x + -12 = 32x + -15x Reorder the terms: 24 + -12 + 8x + -3x = 32x + -15x Combine like terms: 24 + -12 = 12 12 + 8x + -3x = 32x + -15x Combine like terms: 8x + -3x = 5x 12 + 5x = 32x + -15x Combine like terms: 32x + -15x = 17x 12 + 5x = 17x Solving 12 + 5x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 12 + 5x + -17x = 17x + -17x Combine like terms: 5x + -17x = -12x 12 + -12x = 17x + -17x Combine like terms: 17x + -17x = 0 12 + -12x = 0 Add '-12' to each side of the equation. 12 + -12 + -12x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 0 + -12 -12x = 0 + -12 Combine like terms: 0 + -12 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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