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Simplifying 7(x + 1) + -1(4x + -1) = 4 Reorder the terms: 7(1 + x) + -1(4x + -1) = 4 (1 * 7 + x * 7) + -1(4x + -1) = 4 (7 + 7x) + -1(4x + -1) = 4 Reorder the terms: 7 + 7x + -1(-1 + 4x) = 4 7 + 7x + (-1 * -1 + 4x * -1) = 4 7 + 7x + (1 + -4x) = 4 Reorder the terms: 7 + 1 + 7x + -4x = 4 Combine like terms: 7 + 1 = 8 8 + 7x + -4x = 4 Combine like terms: 7x + -4x = 3x 8 + 3x = 4 Solving 8 + 3x = 4 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 + 3x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 4 + -8 3x = 4 + -8 Combine like terms: 4 + -8 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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