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Simplifying 6(x + 4) = 3(x + 17) Reorder the terms: 6(4 + x) = 3(x + 17) (4 * 6 + x * 6) = 3(x + 17) (24 + 6x) = 3(x + 17) Reorder the terms: 24 + 6x = 3(17 + x) 24 + 6x = (17 * 3 + x * 3) 24 + 6x = (51 + 3x) Solving 24 + 6x = 51 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + 6x + -3x = 51 + 3x + -3x Combine like terms: 6x + -3x = 3x 24 + 3x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 3x = 51 + 0 24 + 3x = 51 Add '-24' to each side of the equation. 24 + -24 + 3x = 51 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 51 + -24 3x = 51 + -24 Combine like terms: 51 + -24 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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