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Simplifying 8(x + 2) = 3(x + 17) Reorder the terms: 8(2 + x) = 3(x + 17) (2 * 8 + x * 8) = 3(x + 17) (16 + 8x) = 3(x + 17) Reorder the terms: 16 + 8x = 3(17 + x) 16 + 8x = (17 * 3 + x * 3) 16 + 8x = (51 + 3x) Solving 16 + 8x = 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. 16 + 8x + -3x = 51 + 3x + -3x Combine like terms: 8x + -3x = 5x 16 + 5x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + 5x = 51 + 0 16 + 5x = 51 Add '-16' to each side of the equation. 16 + -16 + 5x = 51 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 51 + -16 5x = 51 + -16 Combine like terms: 51 + -16 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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