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Simplifying 2[3x + 1] = x + 27 Reorder the terms: 2[1 + 3x] = x + 27 [1 * 2 + 3x * 2] = x + 27 [2 + 6x] = x + 27 Reorder the terms: 2 + 6x = 27 + x Solving 2 + 6x = 27 + 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 = 27 + x + -1x Combine like terms: 6x + -1x = 5x 2 + 5x = 27 + x + -1x Combine like terms: x + -1x = 0 2 + 5x = 27 + 0 2 + 5x = 27 Add '-2' to each side of the equation. 2 + -2 + 5x = 27 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 27 + -2 5x = 27 + -2 Combine like terms: 27 + -2 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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