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Simplifying 4(2x + 2) = 2(3x + 7) Reorder the terms: 4(2 + 2x) = 2(3x + 7) (2 * 4 + 2x * 4) = 2(3x + 7) (8 + 8x) = 2(3x + 7) Reorder the terms: 8 + 8x = 2(7 + 3x) 8 + 8x = (7 * 2 + 3x * 2) 8 + 8x = (14 + 6x) Solving 8 + 8x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 8x + -6x = 14 + 6x + -6x Combine like terms: 8x + -6x = 2x 8 + 2x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 2x = 14 + 0 8 + 2x = 14 Add '-8' to each side of the equation. 8 + -8 + 2x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 14 + -8 2x = 14 + -8 Combine like terms: 14 + -8 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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