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Simplifying 6(3x + 8) = 17x + 9 Reorder the terms: 6(8 + 3x) = 17x + 9 (8 * 6 + 3x * 6) = 17x + 9 (48 + 18x) = 17x + 9 Reorder the terms: 48 + 18x = 9 + 17x Solving 48 + 18x = 9 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 48 + 18x + -17x = 9 + 17x + -17x Combine like terms: 18x + -17x = 1x 48 + 1x = 9 + 17x + -17x Combine like terms: 17x + -17x = 0 48 + 1x = 9 + 0 48 + 1x = 9 Add '-48' to each side of the equation. 48 + -48 + 1x = 9 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = 9 + -48 1x = 9 + -48 Combine like terms: 9 + -48 = -39 1x = -39 Divide each side by '1'. x = -39 Simplifying x = -39
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