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Simplifying 12x + 24 = -15x + 7 Reorder the terms: 24 + 12x = -15x + 7 Reorder the terms: 24 + 12x = 7 + -15x Solving 24 + 12x = 7 + -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 = 7 + -15x + 15x Combine like terms: 12x + 15x = 27x 24 + 27x = 7 + -15x + 15x Combine like terms: -15x + 15x = 0 24 + 27x = 7 + 0 24 + 27x = 7 Add '-24' to each side of the equation. 24 + -24 + 27x = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 27x = 7 + -24 27x = 7 + -24 Combine like terms: 7 + -24 = -17 27x = -17 Divide each side by '27'. x = -0.6296296296 Simplifying x = -0.6296296296
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