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Simplifying 17(x + 30) = 7x Reorder the terms: 17(30 + x) = 7x (30 * 17 + x * 17) = 7x (510 + 17x) = 7x Solving 510 + 17x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 510 + 17x + -7x = 7x + -7x Combine like terms: 17x + -7x = 10x 510 + 10x = 7x + -7x Combine like terms: 7x + -7x = 0 510 + 10x = 0 Add '-510' to each side of the equation. 510 + -510 + 10x = 0 + -510 Combine like terms: 510 + -510 = 0 0 + 10x = 0 + -510 10x = 0 + -510 Combine like terms: 0 + -510 = -510 10x = -510 Divide each side by '10'. x = -51 Simplifying x = -51
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