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Simplifying 2(5x + 1) = -7x + 2 + 17c Reorder the terms: 2(1 + 5x) = -7x + 2 + 17c (1 * 2 + 5x * 2) = -7x + 2 + 17c (2 + 10x) = -7x + 2 + 17c Reorder the terms: 2 + 10x = 2 + 17c + -7x Add '-2' to each side of the equation. 2 + -2 + 10x = 2 + 17c + -2 + -7x Combine like terms: 2 + -2 = 0 0 + 10x = 2 + 17c + -2 + -7x 10x = 2 + 17c + -2 + -7x Reorder the terms: 10x = 2 + -2 + 17c + -7x Combine like terms: 2 + -2 = 0 10x = 0 + 17c + -7x 10x = 17c + -7x Solving 10x = 17c + -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. 10x + 7x = 17c + -7x + 7x Combine like terms: 10x + 7x = 17x 17x = 17c + -7x + 7x Combine like terms: -7x + 7x = 0 17x = 17c + 0 17x = 17c Divide each side by '17'. x = c Simplifying x = c
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