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Simplifying 2(2x + 4) = -7x + 9x + 20 Reorder the terms: 2(4 + 2x) = -7x + 9x + 20 (4 * 2 + 2x * 2) = -7x + 9x + 20 (8 + 4x) = -7x + 9x + 20 Reorder the terms: 8 + 4x = 20 + -7x + 9x Combine like terms: -7x + 9x = 2x 8 + 4x = 20 + 2x Solving 8 + 4x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 4x + -2x = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 20 + 0 8 + 2x = 20 Add '-8' to each side of the equation. 8 + -8 + 2x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 20 + -8 2x = 20 + -8 Combine like terms: 20 + -8 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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