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Simplifying 79(x + -5) + -2x = 5(x + -6) + -5 Reorder the terms: 79(-5 + x) + -2x = 5(x + -6) + -5 (-5 * 79 + x * 79) + -2x = 5(x + -6) + -5 (-395 + 79x) + -2x = 5(x + -6) + -5 Combine like terms: 79x + -2x = 77x -395 + 77x = 5(x + -6) + -5 Reorder the terms: -395 + 77x = 5(-6 + x) + -5 -395 + 77x = (-6 * 5 + x * 5) + -5 -395 + 77x = (-30 + 5x) + -5 Reorder the terms: -395 + 77x = -30 + -5 + 5x Combine like terms: -30 + -5 = -35 -395 + 77x = -35 + 5x Solving -395 + 77x = -35 + 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. -395 + 77x + -5x = -35 + 5x + -5x Combine like terms: 77x + -5x = 72x -395 + 72x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -395 + 72x = -35 + 0 -395 + 72x = -35 Add '395' to each side of the equation. -395 + 395 + 72x = -35 + 395 Combine like terms: -395 + 395 = 0 0 + 72x = -35 + 395 72x = -35 + 395 Combine like terms: -35 + 395 = 360 72x = 360 Divide each side by '72'. x = 5 Simplifying x = 5
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