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