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Simplifying 12x + -15 = 14x + 5x + 10 Reorder the terms: -15 + 12x = 14x + 5x + 10 Reorder the terms: -15 + 12x = 10 + 14x + 5x Combine like terms: 14x + 5x = 19x -15 + 12x = 10 + 19x Solving -15 + 12x = 10 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -15 + 12x + -19x = 10 + 19x + -19x Combine like terms: 12x + -19x = -7x -15 + -7x = 10 + 19x + -19x Combine like terms: 19x + -19x = 0 -15 + -7x = 10 + 0 -15 + -7x = 10 Add '15' to each side of the equation. -15 + 15 + -7x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 10 + 15 -7x = 10 + 15 Combine like terms: 10 + 15 = 25 -7x = 25 Divide each side by '-7'. x = -3.571428571 Simplifying x = -3.571428571
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