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Simplifying 0.5x + 8 = 3x + 5 Reorder the terms: 8 + 0.5x = 3x + 5 Reorder the terms: 8 + 0.5x = 5 + 3x Solving 8 + 0.5x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 0.5x + -3x = 5 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 8 + -2.5x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -2.5x = 5 + 0 8 + -2.5x = 5 Add '-8' to each side of the equation. 8 + -8 + -2.5x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -2.5x = 5 + -8 -2.5x = 5 + -8 Combine like terms: 5 + -8 = -3 -2.5x = -3 Divide each side by '-2.5'. x = 1.2 Simplifying x = 1.2
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