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Simplifying 5(x + -9) + 24 + -7x = 4x + -77 Reorder the terms: 5(-9 + x) + 24 + -7x = 4x + -77 (-9 * 5 + x * 5) + 24 + -7x = 4x + -77 (-45 + 5x) + 24 + -7x = 4x + -77 Reorder the terms: -45 + 24 + 5x + -7x = 4x + -77 Combine like terms: -45 + 24 = -21 -21 + 5x + -7x = 4x + -77 Combine like terms: 5x + -7x = -2x -21 + -2x = 4x + -77 Reorder the terms: -21 + -2x = -77 + 4x Solving -21 + -2x = -77 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + -2x + -4x = -77 + 4x + -4x Combine like terms: -2x + -4x = -6x -21 + -6x = -77 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + -6x = -77 + 0 -21 + -6x = -77 Add '21' to each side of the equation. -21 + 21 + -6x = -77 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = -77 + 21 -6x = -77 + 21 Combine like terms: -77 + 21 = -56 -6x = -56 Divide each side by '-6'. x = 9.333333333 Simplifying x = 9.333333333
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