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Simplifying 3(x + 8) = 2(4x + 17) Reorder the terms: 3(8 + x) = 2(4x + 17) (8 * 3 + x * 3) = 2(4x + 17) (24 + 3x) = 2(4x + 17) Reorder the terms: 24 + 3x = 2(17 + 4x) 24 + 3x = (17 * 2 + 4x * 2) 24 + 3x = (34 + 8x) Solving 24 + 3x = 34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 3x + -8x = 34 + 8x + -8x Combine like terms: 3x + -8x = -5x 24 + -5x = 34 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -5x = 34 + 0 24 + -5x = 34 Add '-24' to each side of the equation. 24 + -24 + -5x = 34 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 34 + -24 -5x = 34 + -24 Combine like terms: 34 + -24 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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