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Simplifying 17x + -30 = 100 + -7x Reorder the terms: -30 + 17x = 100 + -7x Solving -30 + 17x = 100 + -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. -30 + 17x + 7x = 100 + -7x + 7x Combine like terms: 17x + 7x = 24x -30 + 24x = 100 + -7x + 7x Combine like terms: -7x + 7x = 0 -30 + 24x = 100 + 0 -30 + 24x = 100 Add '30' to each side of the equation. -30 + 30 + 24x = 100 + 30 Combine like terms: -30 + 30 = 0 0 + 24x = 100 + 30 24x = 100 + 30 Combine like terms: 100 + 30 = 130 24x = 130 Divide each side by '24'. x = 5.416666667 Simplifying x = 5.416666667
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