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Simplifying 11x + -20 + 2x = 5(x + 40) Reorder the terms: -20 + 11x + 2x = 5(x + 40) Combine like terms: 11x + 2x = 13x -20 + 13x = 5(x + 40) Reorder the terms: -20 + 13x = 5(40 + x) -20 + 13x = (40 * 5 + x * 5) -20 + 13x = (200 + 5x) Solving -20 + 13x = 200 + 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. -20 + 13x + -5x = 200 + 5x + -5x Combine like terms: 13x + -5x = 8x -20 + 8x = 200 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 8x = 200 + 0 -20 + 8x = 200 Add '20' to each side of the equation. -20 + 20 + 8x = 200 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 200 + 20 8x = 200 + 20 Combine like terms: 200 + 20 = 220 8x = 220 Divide each side by '8'. x = 27.5 Simplifying x = 27.5
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