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Simplifying 3(2x + 7) = 8(x + 2) Reorder the terms: 3(7 + 2x) = 8(x + 2) (7 * 3 + 2x * 3) = 8(x + 2) (21 + 6x) = 8(x + 2) Reorder the terms: 21 + 6x = 8(2 + x) 21 + 6x = (2 * 8 + x * 8) 21 + 6x = (16 + 8x) Solving 21 + 6x = 16 + 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. 21 + 6x + -8x = 16 + 8x + -8x Combine like terms: 6x + -8x = -2x 21 + -2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -2x = 16 + 0 21 + -2x = 16 Add '-21' to each side of the equation. 21 + -21 + -2x = 16 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 16 + -21 -2x = 16 + -21 Combine like terms: 16 + -21 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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