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Simplifying 7x + 10 = 12x + 15 Reorder the terms: 10 + 7x = 12x + 15 Reorder the terms: 10 + 7x = 15 + 12x Solving 10 + 7x = 15 + 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. 10 + 7x + -12x = 15 + 12x + -12x Combine like terms: 7x + -12x = -5x 10 + -5x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -5x = 15 + 0 10 + -5x = 15 Add '-10' to each side of the equation. 10 + -10 + -5x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 15 + -10 -5x = 15 + -10 Combine like terms: 15 + -10 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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