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Simplifying 9x + -5(x + 4) = 7(x + -8) + -24 + x Reorder the terms: 9x + -5(4 + x) = 7(x + -8) + -24 + x 9x + (4 * -5 + x * -5) = 7(x + -8) + -24 + x 9x + (-20 + -5x) = 7(x + -8) + -24 + x Reorder the terms: -20 + 9x + -5x = 7(x + -8) + -24 + x Combine like terms: 9x + -5x = 4x -20 + 4x = 7(x + -8) + -24 + x Reorder the terms: -20 + 4x = 7(-8 + x) + -24 + x -20 + 4x = (-8 * 7 + x * 7) + -24 + x -20 + 4x = (-56 + 7x) + -24 + x Reorder the terms: -20 + 4x = -56 + -24 + 7x + x Combine like terms: -56 + -24 = -80 -20 + 4x = -80 + 7x + x Combine like terms: 7x + x = 8x -20 + 4x = -80 + 8x Solving -20 + 4x = -80 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 4x + -8x = -80 + 8x + -8x Combine like terms: 4x + -8x = -4x -20 + -4x = -80 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -4x = -80 + 0 -20 + -4x = -80 Add '20' to each side of the equation. -20 + 20 + -4x = -80 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = -80 + 20 -4x = -80 + 20 Combine like terms: -80 + 20 = -60 -4x = -60 Divide each side by '-4'. x = 15 Simplifying x = 15
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