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Simplifying 5400 = x + 0.09x + (5400 + -1x + 0.09x) Combine like terms: -1x + 0.09x = -0.91x 5400 = x + 0.09x + (5400 + -0.91x) Remove parenthesis around (5400 + -0.91x) 5400 = x + 0.09x + 5400 + -0.91x Reorder the terms: 5400 = 5400 + x + 0.09x + -0.91x Combine like terms: x + 0.09x = 1.09x 5400 = 5400 + 1.09x + -0.91x Combine like terms: 1.09x + -0.91x = 0.18x 5400 = 5400 + 0.18x Add '-5400' to each side of the equation. 5400 + -5400 = 5400 + -5400 + 0.18x Combine like terms: 5400 + -5400 = 0 0 = 5400 + -5400 + 0.18x Combine like terms: 5400 + -5400 = 0 0 = 0 + 0.18x 0 = 0.18x Solving 0 = 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. 0 + -0.18x = 0.18x + -0.18x Remove the zero: -0.18x = 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 -0.18x = 0.00 Divide each side by '-0.18'. x = 0 Simplifying x = 0
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