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Simplifying 5 + 6(x + 1) = 5x + 17 Reorder the terms: 5 + 6(1 + x) = 5x + 17 5 + (1 * 6 + x * 6) = 5x + 17 5 + (6 + 6x) = 5x + 17 Combine like terms: 5 + 6 = 11 11 + 6x = 5x + 17 Reorder the terms: 11 + 6x = 17 + 5x Solving 11 + 6x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + 6x + -5x = 17 + 5x + -5x Combine like terms: 6x + -5x = 1x 11 + 1x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 1x = 17 + 0 11 + 1x = 17 Add '-11' to each side of the equation. 11 + -11 + 1x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 17 + -11 1x = 17 + -11 Combine like terms: 17 + -11 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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