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Simplifying -1(x + 17) = 2(11 + -3x) Reorder the terms: -1(17 + x) = 2(11 + -3x) (17 * -1 + x * -1) = 2(11 + -3x) (-17 + -1x) = 2(11 + -3x) -17 + -1x = (11 * 2 + -3x * 2) -17 + -1x = (22 + -6x) Solving -17 + -1x = 22 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -17 + -1x + 6x = 22 + -6x + 6x Combine like terms: -1x + 6x = 5x -17 + 5x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 5x = 22 + 0 -17 + 5x = 22 Add '17' to each side of the equation. -17 + 17 + 5x = 22 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 22 + 17 5x = 22 + 17 Combine like terms: 22 + 17 = 39 5x = 39 Divide each side by '5'. x = 7.8 Simplifying x = 7.8
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