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