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Simplifying 2(1 + -2x) = 17 + -1x (1 * 2 + -2x * 2) = 17 + -1x (2 + -4x) = 17 + -1x Solving 2 + -4x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -4x + x = 17 + -1x + x Combine like terms: -4x + x = -3x 2 + -3x = 17 + -1x + x Combine like terms: -1x + x = 0 2 + -3x = 17 + 0 2 + -3x = 17 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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