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Simplifying 7(x + -1) + -1 = 3x + 1 Reorder the terms: 7(-1 + x) + -1 = 3x + 1 (-1 * 7 + x * 7) + -1 = 3x + 1 (-7 + 7x) + -1 = 3x + 1 Reorder the terms: -7 + -1 + 7x = 3x + 1 Combine like terms: -7 + -1 = -8 -8 + 7x = 3x + 1 Reorder the terms: -8 + 7x = 1 + 3x Solving -8 + 7x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 7x + -3x = 1 + 3x + -3x Combine like terms: 7x + -3x = 4x -8 + 4x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 4x = 1 + 0 -8 + 4x = 1 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 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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