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Simplifying 5(4x + -7) + -8 = 5(x + -3) + 77 Reorder the terms: 5(-7 + 4x) + -8 = 5(x + -3) + 77 (-7 * 5 + 4x * 5) + -8 = 5(x + -3) + 77 (-35 + 20x) + -8 = 5(x + -3) + 77 Reorder the terms: -35 + -8 + 20x = 5(x + -3) + 77 Combine like terms: -35 + -8 = -43 -43 + 20x = 5(x + -3) + 77 Reorder the terms: -43 + 20x = 5(-3 + x) + 77 -43 + 20x = (-3 * 5 + x * 5) + 77 -43 + 20x = (-15 + 5x) + 77 Reorder the terms: -43 + 20x = -15 + 77 + 5x Combine like terms: -15 + 77 = 62 -43 + 20x = 62 + 5x Solving -43 + 20x = 62 + 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. -43 + 20x + -5x = 62 + 5x + -5x Combine like terms: 20x + -5x = 15x -43 + 15x = 62 + 5x + -5x Combine like terms: 5x + -5x = 0 -43 + 15x = 62 + 0 -43 + 15x = 62 Add '43' to each side of the equation. -43 + 43 + 15x = 62 + 43 Combine like terms: -43 + 43 = 0 0 + 15x = 62 + 43 15x = 62 + 43 Combine like terms: 62 + 43 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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