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Simplifying (5x + 3) + -1(6x + -5) = 10 Reorder the terms: (3 + 5x) + -1(6x + -5) = 10 Remove parenthesis around (3 + 5x) 3 + 5x + -1(6x + -5) = 10 Reorder the terms: 3 + 5x + -1(-5 + 6x) = 10 3 + 5x + (-5 * -1 + 6x * -1) = 10 3 + 5x + (5 + -6x) = 10 Reorder the terms: 3 + 5 + 5x + -6x = 10 Combine like terms: 3 + 5 = 8 8 + 5x + -6x = 10 Combine like terms: 5x + -6x = -1x 8 + -1x = 10 Solving 8 + -1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 10 + -8 -1x = 10 + -8 Combine like terms: 10 + -8 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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