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Simplifying (-5x + 13) + -1(8x + -10) = 0 Reorder the terms: (13 + -5x) + -1(8x + -10) = 0 Remove parenthesis around (13 + -5x) 13 + -5x + -1(8x + -10) = 0 Reorder the terms: 13 + -5x + -1(-10 + 8x) = 0 13 + -5x + (-10 * -1 + 8x * -1) = 0 13 + -5x + (10 + -8x) = 0 Reorder the terms: 13 + 10 + -5x + -8x = 0 Combine like terms: 13 + 10 = 23 23 + -5x + -8x = 0 Combine like terms: -5x + -8x = -13x 23 + -13x = 0 Solving 23 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -13x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -13x = 0 + -23 -13x = 0 + -23 Combine like terms: 0 + -23 = -23 -13x = -23 Divide each side by '-13'. x = 1.769230769 Simplifying x = 1.769230769
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