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Simplifying 5(x + -9) = 9x + -77 Reorder the terms: 5(-9 + x) = 9x + -77 (-9 * 5 + x * 5) = 9x + -77 (-45 + 5x) = 9x + -77 Reorder the terms: -45 + 5x = -77 + 9x Solving -45 + 5x = -77 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -45 + 5x + -9x = -77 + 9x + -9x Combine like terms: 5x + -9x = -4x -45 + -4x = -77 + 9x + -9x Combine like terms: 9x + -9x = 0 -45 + -4x = -77 + 0 -45 + -4x = -77 Add '45' to each side of the equation. -45 + 45 + -4x = -77 + 45 Combine like terms: -45 + 45 = 0 0 + -4x = -77 + 45 -4x = -77 + 45 Combine like terms: -77 + 45 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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