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Simplifying 0.09x + 450 = 0.12(3000 + x) Reorder the terms: 450 + 0.09x = 0.12(3000 + x) 450 + 0.09x = (3000 * 0.12 + x * 0.12) 450 + 0.09x = (360 + 0.12x) Solving 450 + 0.09x = 360 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 450 + 0.09x + -0.12x = 360 + 0.12x + -0.12x Combine like terms: 0.09x + -0.12x = -0.03x 450 + -0.03x = 360 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 450 + -0.03x = 360 + 0.00 450 + -0.03x = 360 Add '-450' to each side of the equation. 450 + -450 + -0.03x = 360 + -450 Combine like terms: 450 + -450 = 0 0 + -0.03x = 360 + -450 -0.03x = 360 + -450 Combine like terms: 360 + -450 = -90 -0.03x = -90 Divide each side by '-0.03'. x = 3000 Simplifying x = 3000
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