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Simplifying 10x + -3 = 7x + 12 Reorder the terms: -3 + 10x = 7x + 12 Reorder the terms: -3 + 10x = 12 + 7x Solving -3 + 10x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 10x + -7x = 12 + 7x + -7x Combine like terms: 10x + -7x = 3x -3 + 3x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + 3x = 12 + 0 -3 + 3x = 12 Add '3' to each side of the equation. -3 + 3 + 3x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 12 + 3 3x = 12 + 3 Combine like terms: 12 + 3 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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