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Simplifying -1(5 + 7x) + -2(-9 + -1x) = 17 (5 * -1 + 7x * -1) + -2(-9 + -1x) = 17 (-5 + -7x) + -2(-9 + -1x) = 17 -5 + -7x + (-9 * -2 + -1x * -2) = 17 -5 + -7x + (18 + 2x) = 17 Reorder the terms: -5 + 18 + -7x + 2x = 17 Combine like terms: -5 + 18 = 13 13 + -7x + 2x = 17 Combine like terms: -7x + 2x = -5x 13 + -5x = 17 Solving 13 + -5x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 17 + -13 -5x = 17 + -13 Combine like terms: 17 + -13 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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