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Simplifying 2(3x + 8) = (8x + 12) Reorder the terms: 2(8 + 3x) = (8x + 12) (8 * 2 + 3x * 2) = (8x + 12) (16 + 6x) = (8x + 12) Reorder the terms: 16 + 6x = (12 + 8x) Remove parenthesis around (12 + 8x) 16 + 6x = 12 + 8x Solving 16 + 6x = 12 + 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. 16 + 6x + -8x = 12 + 8x + -8x Combine like terms: 6x + -8x = -2x 16 + -2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -2x = 12 + 0 16 + -2x = 12 Add '-16' to each side of the equation. 16 + -16 + -2x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 12 + -16 -2x = 12 + -16 Combine like terms: 12 + -16 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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