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Simplifying (17 + -3x) + -1(5 + 2x) = 20 Remove parenthesis around (17 + -3x) 17 + -3x + -1(5 + 2x) = 20 17 + -3x + (5 * -1 + 2x * -1) = 20 17 + -3x + (-5 + -2x) = 20 Reorder the terms: 17 + -5 + -3x + -2x = 20 Combine like terms: 17 + -5 = 12 12 + -3x + -2x = 20 Combine like terms: -3x + -2x = -5x 12 + -5x = 20 Solving 12 + -5x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 20 + -12 -5x = 20 + -12 Combine like terms: 20 + -12 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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