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Simplifying 400 = (x * 8) + ((x * 1.5) * 2) Reorder the terms for easier multiplication: 400 = (8x) + ((x * 1.5) * 2) Reorder the terms for easier multiplication: 400 = (8x) + ((1.5x) * 2) Remove parenthesis around (1.5x) 400 = (8x) + (1.5x * 2) Reorder the terms for easier multiplication: 400 = (8x) + (1.5 * 2x) Multiply 1.5 * 2 400 = (8x) + (3x) Combine like terms: (8x) + (3x) = 11x 400 = 11x Solving 400 = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 400 + -11x = 11x + -11x Combine like terms: 11x + -11x = 0 400 + -11x = 0 Add '-400' to each side of the equation. 400 + -400 + -11x = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -11x = 0 + -400 -11x = 0 + -400 Combine like terms: 0 + -400 = -400 -11x = -400 Divide each side by '-11'. x = 36.36363636 Simplifying x = 36.36363636
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