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Simplifying (5x + -8) + -1(-4x + -1) = 11 Reorder the terms: (-8 + 5x) + -1(-4x + -1) = 11 Remove parenthesis around (-8 + 5x) -8 + 5x + -1(-4x + -1) = 11 Reorder the terms: -8 + 5x + -1(-1 + -4x) = 11 -8 + 5x + (-1 * -1 + -4x * -1) = 11 -8 + 5x + (1 + 4x) = 11 Reorder the terms: -8 + 1 + 5x + 4x = 11 Combine like terms: -8 + 1 = -7 -7 + 5x + 4x = 11 Combine like terms: 5x + 4x = 9x -7 + 9x = 11 Solving -7 + 9x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 11 + 7 9x = 11 + 7 Combine like terms: 11 + 7 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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