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Simplifying 2(x + 4) + 2 = 9x + 2(x + 2) Reorder the terms: 2(4 + x) + 2 = 9x + 2(x + 2) (4 * 2 + x * 2) + 2 = 9x + 2(x + 2) (8 + 2x) + 2 = 9x + 2(x + 2) Reorder the terms: 8 + 2 + 2x = 9x + 2(x + 2) Combine like terms: 8 + 2 = 10 10 + 2x = 9x + 2(x + 2) Reorder the terms: 10 + 2x = 9x + 2(2 + x) 10 + 2x = 9x + (2 * 2 + x * 2) 10 + 2x = 9x + (4 + 2x) Reorder the terms: 10 + 2x = 4 + 9x + 2x Combine like terms: 9x + 2x = 11x 10 + 2x = 4 + 11x Solving 10 + 2x = 4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 10 + 2x + -11x = 4 + 11x + -11x Combine like terms: 2x + -11x = -9x 10 + -9x = 4 + 11x + -11x Combine like terms: 11x + -11x = 0 10 + -9x = 4 + 0 10 + -9x = 4 Add '-10' to each side of the equation. 10 + -10 + -9x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 4 + -10 -9x = 4 + -10 Combine like terms: 4 + -10 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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