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Simplifying 30 * 9 + 100x = 40(9 + x) Multiply 30 * 9 270 + 100x = 40(9 + x) 270 + 100x = (9 * 40 + x * 40) 270 + 100x = (360 + 40x) Solving 270 + 100x = 360 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 270 + 100x + -40x = 360 + 40x + -40x Combine like terms: 100x + -40x = 60x 270 + 60x = 360 + 40x + -40x Combine like terms: 40x + -40x = 0 270 + 60x = 360 + 0 270 + 60x = 360 Add '-270' to each side of the equation. 270 + -270 + 60x = 360 + -270 Combine like terms: 270 + -270 = 0 0 + 60x = 360 + -270 60x = 360 + -270 Combine like terms: 360 + -270 = 90 60x = 90 Divide each side by '60'. x = 1.5 Simplifying x = 1.5
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