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Simplifying (5x + -8) + -1(6x + 13) = 1 Reorder the terms: (-8 + 5x) + -1(6x + 13) = 1 Remove parenthesis around (-8 + 5x) -8 + 5x + -1(6x + 13) = 1 Reorder the terms: -8 + 5x + -1(13 + 6x) = 1 -8 + 5x + (13 * -1 + 6x * -1) = 1 -8 + 5x + (-13 + -6x) = 1 Reorder the terms: -8 + -13 + 5x + -6x = 1 Combine like terms: -8 + -13 = -21 -21 + 5x + -6x = 1 Combine like terms: 5x + -6x = -1x -21 + -1x = 1 Solving -21 + -1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1x = 1 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 1 + 21 -1x = 1 + 21 Combine like terms: 1 + 21 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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