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Simplifying 67x + 14 + -1(3 * 9x + 8) = 2x + 22 Multiply 3 * 9 67x + 14 + -1(27x + 8) = 2x + 22 Reorder the terms: 67x + 14 + -1(8 + 27x) = 2x + 22 67x + 14 + (8 * -1 + 27x * -1) = 2x + 22 67x + 14 + (-8 + -27x) = 2x + 22 Reorder the terms: 14 + -8 + 67x + -27x = 2x + 22 Combine like terms: 14 + -8 = 6 6 + 67x + -27x = 2x + 22 Combine like terms: 67x + -27x = 40x 6 + 40x = 2x + 22 Reorder the terms: 6 + 40x = 22 + 2x Solving 6 + 40x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 40x + -2x = 22 + 2x + -2x Combine like terms: 40x + -2x = 38x 6 + 38x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 38x = 22 + 0 6 + 38x = 22 Add '-6' to each side of the equation. 6 + -6 + 38x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 38x = 22 + -6 38x = 22 + -6 Combine like terms: 22 + -6 = 16 38x = 16 Divide each side by '38'. x = 0.4210526316 Simplifying x = 0.4210526316
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