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Simplifying 4x + -50 = 2x + 100 Reorder the terms: -50 + 4x = 2x + 100 Reorder the terms: -50 + 4x = 100 + 2x Solving -50 + 4x = 100 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -50 + 4x + -2x = 100 + 2x + -2x Combine like terms: 4x + -2x = 2x -50 + 2x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 -50 + 2x = 100 + 0 -50 + 2x = 100 Add '50' to each side of the equation. -50 + 50 + 2x = 100 + 50 Combine like terms: -50 + 50 = 0 0 + 2x = 100 + 50 2x = 100 + 50 Combine like terms: 100 + 50 = 150 2x = 150 Divide each side by '2'. x = 75 Simplifying x = 75
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