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Simplifying (5x + -8) + -1(3x + 1) = 36 Reorder the terms: (-8 + 5x) + -1(3x + 1) = 36 Remove parenthesis around (-8 + 5x) -8 + 5x + -1(3x + 1) = 36 Reorder the terms: -8 + 5x + -1(1 + 3x) = 36 -8 + 5x + (1 * -1 + 3x * -1) = 36 -8 + 5x + (-1 + -3x) = 36 Reorder the terms: -8 + -1 + 5x + -3x = 36 Combine like terms: -8 + -1 = -9 -9 + 5x + -3x = 36 Combine like terms: 5x + -3x = 2x -9 + 2x = 36 Solving -9 + 2x = 36 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 + 2x = 36 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 36 + 9 2x = 36 + 9 Combine like terms: 36 + 9 = 45 2x = 45 Divide each side by '2'. x = 22.5 Simplifying x = 22.5
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