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Simplifying 5(17 + -1x) = 2(3x + 4) (17 * 5 + -1x * 5) = 2(3x + 4) (85 + -5x) = 2(3x + 4) Reorder the terms: 85 + -5x = 2(4 + 3x) 85 + -5x = (4 * 2 + 3x * 2) 85 + -5x = (8 + 6x) Solving 85 + -5x = 8 + 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. 85 + -5x + -6x = 8 + 6x + -6x Combine like terms: -5x + -6x = -11x 85 + -11x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 85 + -11x = 8 + 0 85 + -11x = 8 Add '-85' to each side of the equation. 85 + -85 + -11x = 8 + -85 Combine like terms: 85 + -85 = 0 0 + -11x = 8 + -85 -11x = 8 + -85 Combine like terms: 8 + -85 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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