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Simplifying 10x + -12 = 3x + 5 Reorder the terms: -12 + 10x = 3x + 5 Reorder the terms: -12 + 10x = 5 + 3x Solving -12 + 10x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 10x + -3x = 5 + 3x + -3x Combine like terms: 10x + -3x = 7x -12 + 7x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 7x = 5 + 0 -12 + 7x = 5 Add '12' to each side of the equation. -12 + 12 + 7x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 5 + 12 7x = 5 + 12 Combine like terms: 5 + 12 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429
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