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Simplifying 2(3x + 1) = x + 22 Reorder the terms: 2(1 + 3x) = x + 22 (1 * 2 + 3x * 2) = x + 22 (2 + 6x) = x + 22 Reorder the terms: 2 + 6x = 22 + x Solving 2 + 6x = 22 + 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. 2 + 6x + -1x = 22 + x + -1x Combine like terms: 6x + -1x = 5x 2 + 5x = 22 + x + -1x Combine like terms: x + -1x = 0 2 + 5x = 22 + 0 2 + 5x = 22 Add '-2' to each side of the equation. 2 + -2 + 5x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 22 + -2 5x = 22 + -2 Combine like terms: 22 + -2 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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