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Simplifying 2(3x + 4) = 4x + 30 Reorder the terms: 2(4 + 3x) = 4x + 30 (4 * 2 + 3x * 2) = 4x + 30 (8 + 6x) = 4x + 30 Reorder the terms: 8 + 6x = 30 + 4x Solving 8 + 6x = 30 + 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 + 6x + -4x = 30 + 4x + -4x Combine like terms: 6x + -4x = 2x 8 + 2x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 2x = 30 + 0 8 + 2x = 30 Add '-8' to each side of the equation. 8 + -8 + 2x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 30 + -8 2x = 30 + -8 Combine like terms: 30 + -8 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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