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Simplifying 205x + 55(10 + -1x) = 1000 205x + (10 * 55 + -1x * 55) = 1000 205x + (550 + -55x) = 1000 Reorder the terms: 550 + 205x + -55x = 1000 Combine like terms: 205x + -55x = 150x 550 + 150x = 1000 Solving 550 + 150x = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-550' to each side of the equation. 550 + -550 + 150x = 1000 + -550 Combine like terms: 550 + -550 = 0 0 + 150x = 1000 + -550 150x = 1000 + -550 Combine like terms: 1000 + -550 = 450 150x = 450 Divide each side by '150'. x = 3 Simplifying x = 3
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