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Simplifying 42 = x + 0.07 + 0.15(x + 0.07x) Combine like terms: x + 0.07x = 1.07x 42 = x + 0.07 + 0.15(1.07x) Remove parenthesis around (1.07x) 42 = x + 0.07 + 0.15 * 1.07x Multiply 0.15 * 1.07 42 = x + 0.07 + 0.1605x Reorder the terms: 42 = 0.07 + x + 0.1605x Combine like terms: x + 0.1605x = 1.1605x 42 = 0.07 + 1.1605x Solving 42 = 0.07 + 1.1605x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1605x' to each side of the equation. 42 + -1.1605x = 0.07 + 1.1605x + -1.1605x Combine like terms: 1.1605x + -1.1605x = 0.0000 42 + -1.1605x = 0.07 + 0.0000 42 + -1.1605x = 0.07 Add '-42' to each side of the equation. 42 + -42 + -1.1605x = 0.07 + -42 Combine like terms: 42 + -42 = 0 0 + -1.1605x = 0.07 + -42 -1.1605x = 0.07 + -42 Combine like terms: 0.07 + -42 = -41.93 -1.1605x = -41.93 Divide each side by '-1.1605'. x = 36.13097803 Simplifying x = 36.13097803
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