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Simplifying 6(6 + x + 2) = 8(8 + 7) Reorder the terms: 6(6 + 2 + x) = 8(8 + 7) Combine like terms: 6 + 2 = 8 6(8 + x) = 8(8 + 7) (8 * 6 + x * 6) = 8(8 + 7) (48 + 6x) = 8(8 + 7) Combine like terms: 8 + 7 = 15 48 + 6x = 8(15) Multiply 8 * 15 48 + 6x = 120 Solving 48 + 6x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 6x = 120 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 120 + -48 6x = 120 + -48 Combine like terms: 120 + -48 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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