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Simplifying 1000 = 6x + 100 + -3x + -50 + 4x Reorder the terms: 1000 = 100 + -50 + 6x + -3x + 4x Combine like terms: 100 + -50 = 50 1000 = 50 + 6x + -3x + 4x Combine like terms: 6x + -3x = 3x 1000 = 50 + 3x + 4x Combine like terms: 3x + 4x = 7x 1000 = 50 + 7x Solving 1000 = 50 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1000 + -7x = 50 + 7x + -7x Combine like terms: 7x + -7x = 0 1000 + -7x = 50 + 0 1000 + -7x = 50 Add '-1000' to each side of the equation. 1000 + -1000 + -7x = 50 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -7x = 50 + -1000 -7x = 50 + -1000 Combine like terms: 50 + -1000 = -950 -7x = -950 Divide each side by '-7'. x = 135.7142857 Simplifying x = 135.7142857
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