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Simplifying 7(-5x + -9) = 5x + 17 Reorder the terms: 7(-9 + -5x) = 5x + 17 (-9 * 7 + -5x * 7) = 5x + 17 (-63 + -35x) = 5x + 17 Reorder the terms: -63 + -35x = 17 + 5x Solving -63 + -35x = 17 + 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. -63 + -35x + -5x = 17 + 5x + -5x Combine like terms: -35x + -5x = -40x -63 + -40x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -63 + -40x = 17 + 0 -63 + -40x = 17 Add '63' to each side of the equation. -63 + 63 + -40x = 17 + 63 Combine like terms: -63 + 63 = 0 0 + -40x = 17 + 63 -40x = 17 + 63 Combine like terms: 17 + 63 = 80 -40x = 80 Divide each side by '-40'. x = -2 Simplifying x = -2
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