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Simplifying 200 + -1.5x = 150 + -0.5x Solving 200 + -1.5x = 150 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 200 + -1.5x + 0.5x = 150 + -0.5x + 0.5x Combine like terms: -1.5x + 0.5x = -1x 200 + -1x = 150 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 200 + -1x = 150 + 0.0 200 + -1x = 150 Add '-200' to each side of the equation. 200 + -200 + -1x = 150 + -200 Combine like terms: 200 + -200 = 0 0 + -1x = 150 + -200 -1x = 150 + -200 Combine like terms: 150 + -200 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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