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Simplifying 5x + -500 = 2x + -200 + 21 Reorder the terms: -500 + 5x = 2x + -200 + 21 Reorder the terms: -500 + 5x = -200 + 21 + 2x Combine like terms: -200 + 21 = -179 -500 + 5x = -179 + 2x Solving -500 + 5x = -179 + 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. -500 + 5x + -2x = -179 + 2x + -2x Combine like terms: 5x + -2x = 3x -500 + 3x = -179 + 2x + -2x Combine like terms: 2x + -2x = 0 -500 + 3x = -179 + 0 -500 + 3x = -179 Add '500' to each side of the equation. -500 + 500 + 3x = -179 + 500 Combine like terms: -500 + 500 = 0 0 + 3x = -179 + 500 3x = -179 + 500 Combine like terms: -179 + 500 = 321 3x = 321 Divide each side by '3'. x = 107 Simplifying x = 107
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