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Simplifying 7(17 + -1x) = 5(11 + x) (17 * 7 + -1x * 7) = 5(11 + x) (119 + -7x) = 5(11 + x) 119 + -7x = (11 * 5 + x * 5) 119 + -7x = (55 + 5x) Solving 119 + -7x = 55 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 119 + -7x + -5x = 55 + 5x + -5x Combine like terms: -7x + -5x = -12x 119 + -12x = 55 + 5x + -5x Combine like terms: 5x + -5x = 0 119 + -12x = 55 + 0 119 + -12x = 55 Add '-119' to each side of the equation. 119 + -119 + -12x = 55 + -119 Combine like terms: 119 + -119 = 0 0 + -12x = 55 + -119 -12x = 55 + -119 Combine like terms: 55 + -119 = -64 -12x = -64 Divide each side by '-12'. x = 5.333333333 Simplifying x = 5.333333333
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