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Simplifying 0.5x + 49 = 2x + -5 Reorder the terms: 49 + 0.5x = 2x + -5 Reorder the terms: 49 + 0.5x = -5 + 2x Solving 49 + 0.5x = -5 + 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. 49 + 0.5x + -2x = -5 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 49 + -1.5x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + -1.5x = -5 + 0 49 + -1.5x = -5 Add '-49' to each side of the equation. 49 + -49 + -1.5x = -5 + -49 Combine like terms: 49 + -49 = 0 0 + -1.5x = -5 + -49 -1.5x = -5 + -49 Combine like terms: -5 + -49 = -54 -1.5x = -54 Divide each side by '-1.5'. x = 36 Simplifying x = 36
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