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Simplifying 5.50x + 100(6.25) = 6(5.50 + x) Multiply 100 * 6.25 5.50x + 625 = 6(5.50 + x) Reorder the terms: 625 + 5.50x = 6(5.50 + x) 625 + 5.50x = (5.50 * 6 + x * 6) 625 + 5.50x = (33 + 6x) Solving 625 + 5.50x = 33 + 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 = 33 + 6x + -6x Combine like terms: 5.50x + -6x = -0.5x 625 + -0.5x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 625 + -0.5x = 33 + 0 625 + -0.5x = 33 Add '-625' to each side of the equation. 625 + -625 + -0.5x = 33 + -625 Combine like terms: 625 + -625 = 0 0 + -0.5x = 33 + -625 -0.5x = 33 + -625 Combine like terms: 33 + -625 = -592 -0.5x = -592 Divide each side by '-0.5'. x = 1184 Simplifying x = 1184
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