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Simplifying 7(x + 2) = 4(x + 8) Reorder the terms: 7(2 + x) = 4(x + 8) (2 * 7 + x * 7) = 4(x + 8) (14 + 7x) = 4(x + 8) Reorder the terms: 14 + 7x = 4(8 + x) 14 + 7x = (8 * 4 + x * 4) 14 + 7x = (32 + 4x) Solving 14 + 7x = 32 + 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. 14 + 7x + -4x = 32 + 4x + -4x Combine like terms: 7x + -4x = 3x 14 + 3x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 3x = 32 + 0 14 + 3x = 32 Add '-14' to each side of the equation. 14 + -14 + 3x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 32 + -14 3x = 32 + -14 Combine like terms: 32 + -14 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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