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Simplifying 10x + -7 = 6x + x + 10 Reorder the terms: -7 + 10x = 6x + x + 10 Reorder the terms: -7 + 10x = 10 + 6x + x Combine like terms: 6x + x = 7x -7 + 10x = 10 + 7x Solving -7 + 10x = 10 + 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. -7 + 10x + -7x = 10 + 7x + -7x Combine like terms: 10x + -7x = 3x -7 + 3x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 3x = 10 + 0 -7 + 3x = 10 Add '7' to each side of the equation. -7 + 7 + 3x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 10 + 7 3x = 10 + 7 Combine like terms: 10 + 7 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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