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Simplifying 3x + 100 = 2x + -20 Reorder the terms: 100 + 3x = 2x + -20 Reorder the terms: 100 + 3x = -20 + 2x Solving 100 + 3x = -20 + 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. 100 + 3x + -2x = -20 + 2x + -2x Combine like terms: 3x + -2x = 1x 100 + 1x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + 1x = -20 + 0 100 + 1x = -20 Add '-100' to each side of the equation. 100 + -100 + 1x = -20 + -100 Combine like terms: 100 + -100 = 0 0 + 1x = -20 + -100 1x = -20 + -100 Combine like terms: -20 + -100 = -120 1x = -120 Divide each side by '1'. x = -120 Simplifying x = -120
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