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Simplifying x + -0.09x = 5400 + -1(x + 0.09x) Combine like terms: x + -0.09x = 0.91x 0.91x = 5400 + -1(x + 0.09x) Combine like terms: x + 0.09x = 1.09x 0.91x = 5400 + -1(1.09x) Remove parenthesis around (1.09x) 0.91x = 5400 + -1 * 1.09x Multiply -1 * 1.09 0.91x = 5400 + -1.09x Solving 0.91x = 5400 + -1.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.09x' to each side of the equation. 0.91x + 1.09x = 5400 + -1.09x + 1.09x Combine like terms: 0.91x + 1.09x = 2x 2x = 5400 + -1.09x + 1.09x Combine like terms: -1.09x + 1.09x = 0.00 2x = 5400 + 0.00 2x = 5400 Divide each side by '2'. x = 2700 Simplifying x = 2700
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