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Simplifying 2(2x + 4) = 3x + 4x + 2 Reorder the terms: 2(4 + 2x) = 3x + 4x + 2 (4 * 2 + 2x * 2) = 3x + 4x + 2 (8 + 4x) = 3x + 4x + 2 Reorder the terms: 8 + 4x = 2 + 3x + 4x Combine like terms: 3x + 4x = 7x 8 + 4x = 2 + 7x Solving 8 + 4x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 4x + -7x = 2 + 7x + -7x Combine like terms: 4x + -7x = -3x 8 + -3x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -3x = 2 + 0 8 + -3x = 2 Add '-8' to each side of the equation. 8 + -8 + -3x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 2 + -8 -3x = 2 + -8 Combine like terms: 2 + -8 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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