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Simplifying 5.5x + 6(100) = 6.2(x + 100) Multiply 6 * 100 5.5x + 600 = 6.2(x + 100) Reorder the terms: 600 + 5.5x = 6.2(x + 100) Reorder the terms: 600 + 5.5x = 6.2(100 + x) 600 + 5.5x = (100 * 6.2 + x * 6.2) 600 + 5.5x = (620 + 6.2x) Solving 600 + 5.5x = 620 + 6.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.2x' to each side of the equation. 600 + 5.5x + -6.2x = 620 + 6.2x + -6.2x Combine like terms: 5.5x + -6.2x = -0.7x 600 + -0.7x = 620 + 6.2x + -6.2x Combine like terms: 6.2x + -6.2x = 0.0 600 + -0.7x = 620 + 0.0 600 + -0.7x = 620 Add '-600' to each side of the equation. 600 + -600 + -0.7x = 620 + -600 Combine like terms: 600 + -600 = 0 0 + -0.7x = 620 + -600 -0.7x = 620 + -600 Combine like terms: 620 + -600 = 20 -0.7x = 20 Divide each side by '-0.7'. x = -28.57142857 Simplifying x = -28.57142857
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