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Simplifying X + -0.10x + -0.15x(x + -0.10x) = 306 Combine like terms: x + -0.10x = 0.9x X + -0.10x + -0.15x(0.9x) = 306 Remove parenthesis around (0.9x) X + -0.10x + -0.15x * 0.9x = 306 Reorder the terms for easier multiplication: X + -0.10x + -0.15 * 0.9x * x = 306 Multiply -0.15 * 0.9 X + -0.10x + -0.135x * x = 306 Multiply x * x X + -0.10x + -0.135x2 = 306 Solving X + -0.10x + -0.135x2 = 306 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.10x' to each side of the equation. X + -0.10x + 0.10x + -0.135x2 = 306 + 0.10x Combine like terms: -0.10x + 0.10x = 0.00 X + 0.00 + -0.135x2 = 306 + 0.10x X + -0.135x2 = 306 + 0.10x Add '0.135x2' to each side of the equation. X + -0.135x2 + 0.135x2 = 306 + 0.10x + 0.135x2 Combine like terms: -0.135x2 + 0.135x2 = 0.000 X + 0.000 = 306 + 0.10x + 0.135x2 X = 306 + 0.10x + 0.135x2 Simplifying X = 306 + 0.10x + 0.135x2
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