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Simplifying 6(x + 2) = 17 + x Reorder the terms: 6(2 + x) = 17 + x (2 * 6 + x * 6) = 17 + x (12 + 6x) = 17 + x Solving 12 + 6x = 17 + 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. 12 + 6x + -1x = 17 + x + -1x Combine like terms: 6x + -1x = 5x 12 + 5x = 17 + x + -1x Combine like terms: x + -1x = 0 12 + 5x = 17 + 0 12 + 5x = 17 Add '-12' to each side of the equation. 12 + -12 + 5x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 17 + -12 5x = 17 + -12 Combine like terms: 17 + -12 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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