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Simplifying 10x + -7 = (x + 6) + 5 Reorder the terms: -7 + 10x = (x + 6) + 5 Reorder the terms: -7 + 10x = (6 + x) + 5 Remove parenthesis around (6 + x) -7 + 10x = 6 + x + 5 Reorder the terms: -7 + 10x = 6 + 5 + x Combine like terms: 6 + 5 = 11 -7 + 10x = 11 + x Solving -7 + 10x = 11 + 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 = 11 + x + -1x Combine like terms: 10x + -1x = 9x -7 + 9x = 11 + x + -1x Combine like terms: x + -1x = 0 -7 + 9x = 11 + 0 -7 + 9x = 11 Add '7' to each side of the equation. -7 + 7 + 9x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 11 + 7 9x = 11 + 7 Combine like terms: 11 + 7 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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