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Simplifying 1.50x + 50 = 2x + 30 Reorder the terms: 50 + 1.50x = 2x + 30 Reorder the terms: 50 + 1.50x = 30 + 2x Solving 50 + 1.50x = 30 + 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. 50 + 1.50x + -2x = 30 + 2x + -2x Combine like terms: 1.50x + -2x = -0.5x 50 + -0.5x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + -0.5x = 30 + 0 50 + -0.5x = 30 Add '-50' to each side of the equation. 50 + -50 + -0.5x = 30 + -50 Combine like terms: 50 + -50 = 0 0 + -0.5x = 30 + -50 -0.5x = 30 + -50 Combine like terms: 30 + -50 = -20 -0.5x = -20 Divide each side by '-0.5'. x = 40 Simplifying x = 40
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