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Simplifying 4(2 + 3x) = 4 + 2(2x) (2 * 4 + 3x * 4) = 4 + 2(2x) (8 + 12x) = 4 + 2(2x) Remove parenthesis around (2x) 8 + 12x = 4 + 2 * 2x Multiply 2 * 2 8 + 12x = 4 + 4x Solving 8 + 12x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 12x + -4x = 4 + 4x + -4x Combine like terms: 12x + -4x = 8x 8 + 8x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 8x = 4 + 0 8 + 8x = 4 Add '-8' to each side of the equation. 8 + -8 + 8x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 4 + -8 8x = 4 + -8 Combine like terms: 4 + -8 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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