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Simplifying 4(x + -50) = 2x + 50 Reorder the terms: 4(-50 + x) = 2x + 50 (-50 * 4 + x * 4) = 2x + 50 (-200 + 4x) = 2x + 50 Reorder the terms: -200 + 4x = 50 + 2x Solving -200 + 4x = 50 + 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. -200 + 4x + -2x = 50 + 2x + -2x Combine like terms: 4x + -2x = 2x -200 + 2x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 -200 + 2x = 50 + 0 -200 + 2x = 50 Add '200' to each side of the equation. -200 + 200 + 2x = 50 + 200 Combine like terms: -200 + 200 = 0 0 + 2x = 50 + 200 2x = 50 + 200 Combine like terms: 50 + 200 = 250 2x = 250 Divide each side by '2'. x = 125 Simplifying x = 125
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