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Simplifying 400 = 40(x) + 2(1.5x) Remove parenthesis around (1.5x) 400 = 40x + 2 * 1.5x Multiply 2 * 1.5 400 = 40x + 3x Combine like terms: 40x + 3x = 43x 400 = 43x Solving 400 = 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. 400 + -43x = 43x + -43x Combine like terms: 43x + -43x = 0 400 + -43x = 0 Add '-400' to each side of the equation. 400 + -400 + -43x = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -43x = 0 + -400 -43x = 0 + -400 Combine like terms: 0 + -400 = -400 -43x = -400 Divide each side by '-43'. x = 9.302325581 Simplifying x = 9.302325581
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