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Simplifying 0.5x + -2 = 0.15x + 5 Reorder the terms: -2 + 0.5x = 0.15x + 5 Reorder the terms: -2 + 0.5x = 5 + 0.15x Solving -2 + 0.5x = 5 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. -2 + 0.5x + -0.15x = 5 + 0.15x + -0.15x Combine like terms: 0.5x + -0.15x = 0.35x -2 + 0.35x = 5 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -2 + 0.35x = 5 + 0.00 -2 + 0.35x = 5 Add '2' to each side of the equation. -2 + 2 + 0.35x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 0.35x = 5 + 2 0.35x = 5 + 2 Combine like terms: 5 + 2 = 7 0.35x = 7 Divide each side by '0.35'. x = 20 Simplifying x = 20
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