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Simplifying 2x + 8(x + 2) = 3(2x + 8) Reorder the terms: 2x + 8(2 + x) = 3(2x + 8) 2x + (2 * 8 + x * 8) = 3(2x + 8) 2x + (16 + 8x) = 3(2x + 8) Reorder the terms: 16 + 2x + 8x = 3(2x + 8) Combine like terms: 2x + 8x = 10x 16 + 10x = 3(2x + 8) Reorder the terms: 16 + 10x = 3(8 + 2x) 16 + 10x = (8 * 3 + 2x * 3) 16 + 10x = (24 + 6x) Solving 16 + 10x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 10x + -6x = 24 + 6x + -6x Combine like terms: 10x + -6x = 4x 16 + 4x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 4x = 24 + 0 16 + 4x = 24 Add '-16' to each side of the equation. 16 + -16 + 4x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 24 + -16 4x = 24 + -16 Combine like terms: 24 + -16 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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