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Simplifying 12x + 12 + 15x + 5 = 13x + 10 Reorder the terms: 12 + 5 + 12x + 15x = 13x + 10 Combine like terms: 12 + 5 = 17 17 + 12x + 15x = 13x + 10 Combine like terms: 12x + 15x = 27x 17 + 27x = 13x + 10 Reorder the terms: 17 + 27x = 10 + 13x Solving 17 + 27x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 17 + 27x + -13x = 10 + 13x + -13x Combine like terms: 27x + -13x = 14x 17 + 14x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 17 + 14x = 10 + 0 17 + 14x = 10 Add '-17' to each side of the equation. 17 + -17 + 14x = 10 + -17 Combine like terms: 17 + -17 = 0 0 + 14x = 10 + -17 14x = 10 + -17 Combine like terms: 10 + -17 = -7 14x = -7 Divide each side by '14'. x = -0.5 Simplifying x = -0.5
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