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Simplifying 9x + -2(x + 5) = (x + 6) Reorder the terms: 9x + -2(5 + x) = (x + 6) 9x + (5 * -2 + x * -2) = (x + 6) 9x + (-10 + -2x) = (x + 6) Reorder the terms: -10 + 9x + -2x = (x + 6) Combine like terms: 9x + -2x = 7x -10 + 7x = (x + 6) Reorder the terms: -10 + 7x = (6 + x) Remove parenthesis around (6 + x) -10 + 7x = 6 + x Solving -10 + 7x = 6 + 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. -10 + 7x + -1x = 6 + x + -1x Combine like terms: 7x + -1x = 6x -10 + 6x = 6 + x + -1x Combine like terms: x + -1x = 0 -10 + 6x = 6 + 0 -10 + 6x = 6 Add '10' to each side of the equation. -10 + 10 + 6x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 6 + 10 6x = 6 + 10 Combine like terms: 6 + 10 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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