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Simplifying 5.5x + 6(100) = 6(x + 100) Multiply 6 * 100 5.5x + 600 = 6(x + 100) Reorder the terms: 600 + 5.5x = 6(x + 100) Reorder the terms: 600 + 5.5x = 6(100 + x) 600 + 5.5x = (100 * 6 + x * 6) 600 + 5.5x = (600 + 6x) Add '-600' to each side of the equation. 600 + -600 + 5.5x = 600 + -600 + 6x Combine like terms: 600 + -600 = 0 0 + 5.5x = 600 + -600 + 6x 5.5x = 600 + -600 + 6x Combine like terms: 600 + -600 = 0 5.5x = 0 + 6x 5.5x = 6x Solving 5.5x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5.5x + -6x = 6x + -6x Combine like terms: 5.5x + -6x = -0.5x -0.5x = 6x + -6x Combine like terms: 6x + -6x = 0 -0.5x = 0 Divide each side by '-0.5'. x = 0 Simplifying x = 0
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