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