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Simplifying 12x + -8 = 15x + -8 + 24 Reorder the terms: -8 + 12x = 15x + -8 + 24 Reorder the terms: -8 + 12x = -8 + 24 + 15x Combine like terms: -8 + 24 = 16 -8 + 12x = 16 + 15x Solving -8 + 12x = 16 + 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. -8 + 12x + -15x = 16 + 15x + -15x Combine like terms: 12x + -15x = -3x -8 + -3x = 16 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + -3x = 16 + 0 -8 + -3x = 16 Add '8' to each side of the equation. -8 + 8 + -3x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 16 + 8 -3x = 16 + 8 Combine like terms: 16 + 8 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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