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Simplifying (x) * 900 + (30 + -1x)(1200) = (30)(1000) Reorder the terms for easier multiplication: 900x + (30 + -1x)(1200) = (30)(1000) Reorder the terms for easier multiplication: 900x + 1200(30 + -1x) = (30)(1000) 900x + (30 * 1200 + -1x * 1200) = (30)(1000) 900x + (36000 + -1200x) = (30)(1000) Reorder the terms: 36000 + 900x + -1200x = (30)(1000) Combine like terms: 900x + -1200x = -300x 36000 + -300x = (30)(1000) Multiply 30 * 1000 36000 + -300x = 30000 Solving 36000 + -300x = 30000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36000' to each side of the equation. 36000 + -36000 + -300x = 30000 + -36000 Combine like terms: 36000 + -36000 = 0 0 + -300x = 30000 + -36000 -300x = 30000 + -36000 Combine like terms: 30000 + -36000 = -6000 -300x = -6000 Divide each side by '-300'. x = 20 Simplifying x = 20
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