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Simplifying 7x + 1 = 5(1 + -2x) Reorder the terms: 1 + 7x = 5(1 + -2x) 1 + 7x = (1 * 5 + -2x * 5) 1 + 7x = (5 + -10x) Solving 1 + 7x = 5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 1 + 7x + 10x = 5 + -10x + 10x Combine like terms: 7x + 10x = 17x 1 + 17x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 1 + 17x = 5 + 0 1 + 17x = 5 Add '-1' to each side of the equation. 1 + -1 + 17x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 17x = 5 + -1 17x = 5 + -1 Combine like terms: 5 + -1 = 4 17x = 4 Divide each side by '17'. x = 0.2352941176 Simplifying x = 0.2352941176
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