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Simplifying 10x + -12 = 7x + 5 Reorder the terms: -12 + 10x = 7x + 5 Reorder the terms: -12 + 10x = 5 + 7x Solving -12 + 10x = 5 + 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. -12 + 10x + -7x = 5 + 7x + -7x Combine like terms: 10x + -7x = 3x -12 + 3x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 3x = 5 + 0 -12 + 3x = 5 Add '12' to each side of the equation. -12 + 12 + 3x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 5 + 12 3x = 5 + 12 Combine like terms: 5 + 12 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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