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Simplifying 6(x + 9) = 3x + 17 + 2x Reorder the terms: 6(9 + x) = 3x + 17 + 2x (9 * 6 + x * 6) = 3x + 17 + 2x (54 + 6x) = 3x + 17 + 2x Reorder the terms: 54 + 6x = 17 + 3x + 2x Combine like terms: 3x + 2x = 5x 54 + 6x = 17 + 5x Solving 54 + 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. 54 + 6x + -5x = 17 + 5x + -5x Combine like terms: 6x + -5x = 1x 54 + 1x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + 1x = 17 + 0 54 + 1x = 17 Add '-54' to each side of the equation. 54 + -54 + 1x = 17 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = 17 + -54 1x = 17 + -54 Combine like terms: 17 + -54 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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