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Simplifying 15000 = (x + 0.07) + ((x + 0.07) * 0.1) Reorder the terms: 15000 = (0.07 + x) + ((x + 0.07) * 0.1) Remove parenthesis around (0.07 + x) 15000 = 0.07 + x + ((x + 0.07) * 0.1) Reorder the terms: 15000 = 0.07 + x + ((0.07 + x) * 0.1) Reorder the terms for easier multiplication: 15000 = 0.07 + x + (0.1(0.07 + x)) 15000 = 0.07 + x + ((0.07 * 0.1 + x * 0.1)) 15000 = 0.07 + x + ((0.007 + 0.1x)) 15000 = 0.07 + x + (0.007 + 0.1x) Remove parenthesis around (0.007 + 0.1x) 15000 = 0.07 + x + 0.007 + 0.1x Reorder the terms: 15000 = 0.07 + 0.007 + x + 0.1x Combine like terms: 0.07 + 0.007 = 0.077 15000 = 0.077 + x + 0.1x Combine like terms: x + 0.1x = 1.1x 15000 = 0.077 + 1.1x Solving 15000 = 0.077 + 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. 15000 + -1.1x = 0.077 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 15000 + -1.1x = 0.077 + 0.0 15000 + -1.1x = 0.077 Add '-15000' to each side of the equation. 15000 + -15000 + -1.1x = 0.077 + -15000 Combine like terms: 15000 + -15000 = 0 0 + -1.1x = 0.077 + -15000 -1.1x = 0.077 + -15000 Combine like terms: 0.077 + -15000 = -14999.923 -1.1x = -14999.923 Divide each side by '-1.1'. x = 13636.29364 Simplifying x = 13636.29364
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