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Simplifying 5.50x + 6.25(100) = 6(x + 100) Multiply 6.25 * 100 5.50x + 625 = 6(x + 100) Reorder the terms: 625 + 5.50x = 6(x + 100) Reorder the terms: 625 + 5.50x = 6(100 + x) 625 + 5.50x = (100 * 6 + x * 6) 625 + 5.50x = (600 + 6x) Solving 625 + 5.50x = 600 + 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. 625 + 5.50x + -6x = 600 + 6x + -6x Combine like terms: 5.50x + -6x = -0.5x 625 + -0.5x = 600 + 6x + -6x Combine like terms: 6x + -6x = 0 625 + -0.5x = 600 + 0 625 + -0.5x = 600 Add '-625' to each side of the equation. 625 + -625 + -0.5x = 600 + -625 Combine like terms: 625 + -625 = 0 0 + -0.5x = 600 + -625 -0.5x = 600 + -625 Combine like terms: 600 + -625 = -25 -0.5x = -25 Divide each side by '-0.5'. x = 50 Simplifying x = 50
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