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Simplifying 5(x + -100) = 2(x + -100) Reorder the terms: 5(-100 + x) = 2(x + -100) (-100 * 5 + x * 5) = 2(x + -100) (-500 + 5x) = 2(x + -100) Reorder the terms: -500 + 5x = 2(-100 + x) -500 + 5x = (-100 * 2 + x * 2) -500 + 5x = (-200 + 2x) Solving -500 + 5x = -200 + 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 = -200 + 2x + -2x Combine like terms: 5x + -2x = 3x -500 + 3x = -200 + 2x + -2x Combine like terms: 2x + -2x = 0 -500 + 3x = -200 + 0 -500 + 3x = -200 Add '500' to each side of the equation. -500 + 500 + 3x = -200 + 500 Combine like terms: -500 + 500 = 0 0 + 3x = -200 + 500 3x = -200 + 500 Combine like terms: -200 + 500 = 300 3x = 300 Divide each side by '3'. x = 100 Simplifying x = 100
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