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Simplifying 552 = 6(5x + 7) Reorder the terms: 552 = 6(7 + 5x) 552 = (7 * 6 + 5x * 6) 552 = (42 + 30x) Solving 552 = 42 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 552 + -30x = 42 + 30x + -30x Combine like terms: 30x + -30x = 0 552 + -30x = 42 + 0 552 + -30x = 42 Add '-552' to each side of the equation. 552 + -552 + -30x = 42 + -552 Combine like terms: 552 + -552 = 0 0 + -30x = 42 + -552 -30x = 42 + -552 Combine like terms: 42 + -552 = -510 -30x = -510 Divide each side by '-30'. x = 17 Simplifying x = 17
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