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Simplifying 2(2x + 4) = x(3 + 4) + x Reorder the terms: 2(4 + 2x) = x(3 + 4) + x (4 * 2 + 2x * 2) = x(3 + 4) + x (8 + 4x) = x(3 + 4) + x Combine like terms: 3 + 4 = 7 8 + 4x = x(7) + x Reorder the terms for easier multiplication: 8 + 4x = 7x + x Combine like terms: 7x + x = 8x 8 + 4x = 8x Solving 8 + 4x = 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. 8 + 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = 8x + -8x Combine like terms: 8x + -8x = 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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