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Simplifying 10x + -7 = 101 + x Reorder the terms: -7 + 10x = 101 + x Solving -7 + 10x = 101 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 10x + -1x = 101 + x + -1x Combine like terms: 10x + -1x = 9x -7 + 9x = 101 + x + -1x Combine like terms: x + -1x = 0 -7 + 9x = 101 + 0 -7 + 9x = 101 Add '7' to each side of the equation. -7 + 7 + 9x = 101 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 101 + 7 9x = 101 + 7 Combine like terms: 101 + 7 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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