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Simplifying 5(3x + -5) + -5 = 5(x + -4) + 80 Reorder the terms: 5(-5 + 3x) + -5 = 5(x + -4) + 80 (-5 * 5 + 3x * 5) + -5 = 5(x + -4) + 80 (-25 + 15x) + -5 = 5(x + -4) + 80 Reorder the terms: -25 + -5 + 15x = 5(x + -4) + 80 Combine like terms: -25 + -5 = -30 -30 + 15x = 5(x + -4) + 80 Reorder the terms: -30 + 15x = 5(-4 + x) + 80 -30 + 15x = (-4 * 5 + x * 5) + 80 -30 + 15x = (-20 + 5x) + 80 Reorder the terms: -30 + 15x = -20 + 80 + 5x Combine like terms: -20 + 80 = 60 -30 + 15x = 60 + 5x Solving -30 + 15x = 60 + 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. -30 + 15x + -5x = 60 + 5x + -5x Combine like terms: 15x + -5x = 10x -30 + 10x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 10x = 60 + 0 -30 + 10x = 60 Add '30' to each side of the equation. -30 + 30 + 10x = 60 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 60 + 30 10x = 60 + 30 Combine like terms: 60 + 30 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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