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Simplifying -7(x + -94) = 22 + 5(x + -84) Reorder the terms: -7(-94 + x) = 22 + 5(x + -84) (-94 * -7 + x * -7) = 22 + 5(x + -84) (658 + -7x) = 22 + 5(x + -84) Reorder the terms: 658 + -7x = 22 + 5(-84 + x) 658 + -7x = 22 + (-84 * 5 + x * 5) 658 + -7x = 22 + (-420 + 5x) Combine like terms: 22 + -420 = -398 658 + -7x = -398 + 5x Solving 658 + -7x = -398 + 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. 658 + -7x + -5x = -398 + 5x + -5x Combine like terms: -7x + -5x = -12x 658 + -12x = -398 + 5x + -5x Combine like terms: 5x + -5x = 0 658 + -12x = -398 + 0 658 + -12x = -398 Add '-658' to each side of the equation. 658 + -658 + -12x = -398 + -658 Combine like terms: 658 + -658 = 0 0 + -12x = -398 + -658 -12x = -398 + -658 Combine like terms: -398 + -658 = -1056 -12x = -1056 Divide each side by '-12'. x = 88 Simplifying x = 88
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