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Simplifying 7(x + 1) + -1(3x + -1) = 1 Reorder the terms: 7(1 + x) + -1(3x + -1) = 1 (1 * 7 + x * 7) + -1(3x + -1) = 1 (7 + 7x) + -1(3x + -1) = 1 Reorder the terms: 7 + 7x + -1(-1 + 3x) = 1 7 + 7x + (-1 * -1 + 3x * -1) = 1 7 + 7x + (1 + -3x) = 1 Reorder the terms: 7 + 1 + 7x + -3x = 1 Combine like terms: 7 + 1 = 8 8 + 7x + -3x = 1 Combine like terms: 7x + -3x = 4x 8 + 4x = 1 Solving 8 + 4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 1 + -8 4x = 1 + -8 Combine like terms: 1 + -8 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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