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Simplifying 72x + -1(21 + x) = 83(x + 46) 72x + (21 * -1 + x * -1) = 83(x + 46) 72x + (-21 + -1x) = 83(x + 46) Reorder the terms: -21 + 72x + -1x = 83(x + 46) Combine like terms: 72x + -1x = 71x -21 + 71x = 83(x + 46) Reorder the terms: -21 + 71x = 83(46 + x) -21 + 71x = (46 * 83 + x * 83) -21 + 71x = (3818 + 83x) Solving -21 + 71x = 3818 + 83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-83x' to each side of the equation. -21 + 71x + -83x = 3818 + 83x + -83x Combine like terms: 71x + -83x = -12x -21 + -12x = 3818 + 83x + -83x Combine like terms: 83x + -83x = 0 -21 + -12x = 3818 + 0 -21 + -12x = 3818 Add '21' to each side of the equation. -21 + 21 + -12x = 3818 + 21 Combine like terms: -21 + 21 = 0 0 + -12x = 3818 + 21 -12x = 3818 + 21 Combine like terms: 3818 + 21 = 3839 -12x = 3839 Divide each side by '-12'. x = -319.9166667 Simplifying x = -319.9166667
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