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Simplifying 5(x + 1) + -1(2x + -7) = 1 Reorder the terms: 5(1 + x) + -1(2x + -7) = 1 (1 * 5 + x * 5) + -1(2x + -7) = 1 (5 + 5x) + -1(2x + -7) = 1 Reorder the terms: 5 + 5x + -1(-7 + 2x) = 1 5 + 5x + (-7 * -1 + 2x * -1) = 1 5 + 5x + (7 + -2x) = 1 Reorder the terms: 5 + 7 + 5x + -2x = 1 Combine like terms: 5 + 7 = 12 12 + 5x + -2x = 1 Combine like terms: 5x + -2x = 3x 12 + 3x = 1 Solving 12 + 3x = 1 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 = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 1 + -12 3x = 1 + -12 Combine like terms: 1 + -12 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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