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Simplifying 40000 = 52(40x + 10(1.5x)) Remove parenthesis around (1.5x) 40000 = 52(40x + 10 * 1.5x) Multiply 10 * 1.5 40000 = 52(40x + 15x) Combine like terms: 40x + 15x = 55x 40000 = 52(55x) Remove parenthesis around (55x) 40000 = 52 * 55x Multiply 52 * 55 40000 = 2860x Solving 40000 = 2860x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2860x' to each side of the equation. 40000 + -2860x = 2860x + -2860x Combine like terms: 2860x + -2860x = 0 40000 + -2860x = 0 Add '-40000' to each side of the equation. 40000 + -40000 + -2860x = 0 + -40000 Combine like terms: 40000 + -40000 = 0 0 + -2860x = 0 + -40000 -2860x = 0 + -40000 Combine like terms: 0 + -40000 = -40000 -2860x = -40000 Divide each side by '-2860'. x = 13.98601399 Simplifying x = 13.98601399
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