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Simplifying 5(3x + -20) = 5(1x + 2) Reorder the terms: 5(-20 + 3x) = 5(1x + 2) (-20 * 5 + 3x * 5) = 5(1x + 2) (-100 + 15x) = 5(1x + 2) Reorder the terms: -100 + 15x = 5(2 + 1x) -100 + 15x = (2 * 5 + 1x * 5) -100 + 15x = (10 + 5x) Solving -100 + 15x = 10 + 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. -100 + 15x + -5x = 10 + 5x + -5x Combine like terms: 15x + -5x = 10x -100 + 10x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -100 + 10x = 10 + 0 -100 + 10x = 10 Add '100' to each side of the equation. -100 + 100 + 10x = 10 + 100 Combine like terms: -100 + 100 = 0 0 + 10x = 10 + 100 10x = 10 + 100 Combine like terms: 10 + 100 = 110 10x = 110 Divide each side by '10'. x = 11 Simplifying x = 11
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