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Simplifying 3(2x + 8) = 2(x + 2) Reorder the terms: 3(8 + 2x) = 2(x + 2) (8 * 3 + 2x * 3) = 2(x + 2) (24 + 6x) = 2(x + 2) Reorder the terms: 24 + 6x = 2(2 + x) 24 + 6x = (2 * 2 + x * 2) 24 + 6x = (4 + 2x) Solving 24 + 6x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 6x + -2x = 4 + 2x + -2x Combine like terms: 6x + -2x = 4x 24 + 4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 4x = 4 + 0 24 + 4x = 4 Add '-24' to each side of the equation. 24 + -24 + 4x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 4 + -24 4x = 4 + -24 Combine like terms: 4 + -24 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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