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Simplifying 3x + 8(2 + 9x) = 5x + 32(2 + 2x) 3x + (2 * 8 + 9x * 8) = 5x + 32(2 + 2x) 3x + (16 + 72x) = 5x + 32(2 + 2x) Reorder the terms: 16 + 3x + 72x = 5x + 32(2 + 2x) Combine like terms: 3x + 72x = 75x 16 + 75x = 5x + 32(2 + 2x) 16 + 75x = 5x + (2 * 32 + 2x * 32) 16 + 75x = 5x + (64 + 64x) Reorder the terms: 16 + 75x = 64 + 5x + 64x Combine like terms: 5x + 64x = 69x 16 + 75x = 64 + 69x Solving 16 + 75x = 64 + 69x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69x' to each side of the equation. 16 + 75x + -69x = 64 + 69x + -69x Combine like terms: 75x + -69x = 6x 16 + 6x = 64 + 69x + -69x Combine like terms: 69x + -69x = 0 16 + 6x = 64 + 0 16 + 6x = 64 Add '-16' to each side of the equation. 16 + -16 + 6x = 64 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 64 + -16 6x = 64 + -16 Combine like terms: 64 + -16 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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