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Simplifying (3x + 6) + -1(5x + -2) = 10 Reorder the terms: (6 + 3x) + -1(5x + -2) = 10 Remove parenthesis around (6 + 3x) 6 + 3x + -1(5x + -2) = 10 Reorder the terms: 6 + 3x + -1(-2 + 5x) = 10 6 + 3x + (-2 * -1 + 5x * -1) = 10 6 + 3x + (2 + -5x) = 10 Reorder the terms: 6 + 2 + 3x + -5x = 10 Combine like terms: 6 + 2 = 8 8 + 3x + -5x = 10 Combine like terms: 3x + -5x = -2x 8 + -2x = 10 Solving 8 + -2x = 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 + -2x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 10 + -8 -2x = 10 + -8 Combine like terms: 10 + -8 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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