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Simplifying 7(x + 1) + -1(4x + -5) = 2 Reorder the terms: 7(1 + x) + -1(4x + -5) = 2 (1 * 7 + x * 7) + -1(4x + -5) = 2 (7 + 7x) + -1(4x + -5) = 2 Reorder the terms: 7 + 7x + -1(-5 + 4x) = 2 7 + 7x + (-5 * -1 + 4x * -1) = 2 7 + 7x + (5 + -4x) = 2 Reorder the terms: 7 + 5 + 7x + -4x = 2 Combine like terms: 7 + 5 = 12 12 + 7x + -4x = 2 Combine like terms: 7x + -4x = 3x 12 + 3x = 2 Solving 12 + 3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 2 + -12 3x = 2 + -12 Combine like terms: 2 + -12 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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