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Simplifying 7x + 5 = 12x + -10 Reorder the terms: 5 + 7x = 12x + -10 Reorder the terms: 5 + 7x = -10 + 12x Solving 5 + 7x = -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. 5 + 7x + -12x = -10 + 12x + -12x Combine like terms: 7x + -12x = -5x 5 + -5x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -5x = -10 + 0 5 + -5x = -10 Add '-5' to each side of the equation. 5 + -5 + -5x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -10 + -5 -5x = -10 + -5 Combine like terms: -10 + -5 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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