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Simplifying 15 + 5x + -8 = 12x + -10 Reorder the terms: 15 + -8 + 5x = 12x + -10 Combine like terms: 15 + -8 = 7 7 + 5x = 12x + -10 Reorder the terms: 7 + 5x = -10 + 12x Solving 7 + 5x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 5x + -12x = -10 + 12x + -12x Combine like terms: 5x + -12x = -7x 7 + -7x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -7x = -10 + 0 7 + -7x = -10 Add '-7' to each side of the equation. 7 + -7 + -7x = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -10 + -7 -7x = -10 + -7 Combine like terms: -10 + -7 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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