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Simplifying 118 = 6x + -5(7x + 17) Reorder the terms: 118 = 6x + -5(17 + 7x) 118 = 6x + (17 * -5 + 7x * -5) 118 = 6x + (-85 + -35x) Reorder the terms: 118 = -85 + 6x + -35x Combine like terms: 6x + -35x = -29x 118 = -85 + -29x Solving 118 = -85 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 118 + 29x = -85 + -29x + 29x Combine like terms: -29x + 29x = 0 118 + 29x = -85 + 0 118 + 29x = -85 Add '-118' to each side of the equation. 118 + -118 + 29x = -85 + -118 Combine like terms: 118 + -118 = 0 0 + 29x = -85 + -118 29x = -85 + -118 Combine like terms: -85 + -118 = -203 29x = -203 Divide each side by '29'. x = -7 Simplifying x = -7
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