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Simplifying (1 + 3x) + -1(1 + -2) + (-11 + -7x) = 5 Remove parenthesis around (1 + 3x) 1 + 3x + -1(1 + -2) + (-11 + -7x) = 5 Combine like terms: 1 + -2 = -1 1 + 3x + -1(-1) + (-11 + -7x) = 5 Multiply -1 * -1 1 + 3x + 1 + (-11 + -7x) = 5 Remove parenthesis around (-11 + -7x) 1 + 3x + 1 + -11 + -7x = 5 Reorder the terms: 1 + 1 + -11 + 3x + -7x = 5 Combine like terms: 1 + 1 = 2 2 + -11 + 3x + -7x = 5 Combine like terms: 2 + -11 = -9 -9 + 3x + -7x = 5 Combine like terms: 3x + -7x = -4x -9 + -4x = 5 Solving -9 + -4x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 5 + 9 -4x = 5 + 9 Combine like terms: 5 + 9 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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