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Simplifying (5 + -3x) + -1(3 + -6x) = 17 Remove parenthesis around (5 + -3x) 5 + -3x + -1(3 + -6x) = 17 5 + -3x + (3 * -1 + -6x * -1) = 17 5 + -3x + (-3 + 6x) = 17 Reorder the terms: 5 + -3 + -3x + 6x = 17 Combine like terms: 5 + -3 = 2 2 + -3x + 6x = 17 Combine like terms: -3x + 6x = 3x 2 + 3x = 17 Solving 2 + 3x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 17 + -2 3x = 17 + -2 Combine like terms: 17 + -2 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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