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Simplifying 2(2x + 4) = 3x + 5x + 20 Reorder the terms: 2(4 + 2x) = 3x + 5x + 20 (4 * 2 + 2x * 2) = 3x + 5x + 20 (8 + 4x) = 3x + 5x + 20 Reorder the terms: 8 + 4x = 20 + 3x + 5x Combine like terms: 3x + 5x = 8x 8 + 4x = 20 + 8x Solving 8 + 4x = 20 + 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 = 20 + 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -4x = 20 + 0 8 + -4x = 20 Add '-8' to each side of the equation. 8 + -8 + -4x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 20 + -8 -4x = 20 + -8 Combine like terms: 20 + -8 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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