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Simplifying 300 + -2.5x = 7.5x + 100 Reorder the terms: 300 + -2.5x = 100 + 7.5x Solving 300 + -2.5x = 100 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 300 + -2.5x + -7.5x = 100 + 7.5x + -7.5x Combine like terms: -2.5x + -7.5x = -10x 300 + -10x = 100 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 300 + -10x = 100 + 0.0 300 + -10x = 100 Add '-300' to each side of the equation. 300 + -300 + -10x = 100 + -300 Combine like terms: 300 + -300 = 0 0 + -10x = 100 + -300 -10x = 100 + -300 Combine like terms: 100 + -300 = -200 -10x = -200 Divide each side by '-10'. x = 20 Simplifying x = 20
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