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Simplifying 5(1 + -1x) = 17 + -1x (1 * 5 + -1x * 5) = 17 + -1x (5 + -5x) = 17 + -1x Solving 5 + -5x = 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. 5 + -5x + x = 17 + -1x + x Combine like terms: -5x + x = -4x 5 + -4x = 17 + -1x + x Combine like terms: -1x + x = 0 5 + -4x = 17 + 0 5 + -4x = 17 Add '-5' to each side of the equation. 5 + -5 + -4x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 17 + -5 -4x = 17 + -5 Combine like terms: 17 + -5 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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