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Simplifying 7(-31x + -19) = -9(-38 + -7x) Reorder the terms: 7(-19 + -31x) = -9(-38 + -7x) (-19 * 7 + -31x * 7) = -9(-38 + -7x) (-133 + -217x) = -9(-38 + -7x) -133 + -217x = (-38 * -9 + -7x * -9) -133 + -217x = (342 + 63x) Solving -133 + -217x = 342 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -133 + -217x + -63x = 342 + 63x + -63x Combine like terms: -217x + -63x = -280x -133 + -280x = 342 + 63x + -63x Combine like terms: 63x + -63x = 0 -133 + -280x = 342 + 0 -133 + -280x = 342 Add '133' to each side of the equation. -133 + 133 + -280x = 342 + 133 Combine like terms: -133 + 133 = 0 0 + -280x = 342 + 133 -280x = 342 + 133 Combine like terms: 342 + 133 = 475 -280x = 475 Divide each side by '-280'. x = -1.696428571 Simplifying x = -1.696428571
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