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Simplifying 0.35x + -0.2 = 0.15x + 1 Reorder the terms: -0.2 + 0.35x = 0.15x + 1 Reorder the terms: -0.2 + 0.35x = 1 + 0.15x Solving -0.2 + 0.35x = 1 + 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. -0.2 + 0.35x + -0.15x = 1 + 0.15x + -0.15x Combine like terms: 0.35x + -0.15x = 0.2x -0.2 + 0.2x = 1 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -0.2 + 0.2x = 1 + 0.00 -0.2 + 0.2x = 1 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.2x = 1 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.2x = 1 + 0.2 0.2x = 1 + 0.2 Combine like terms: 1 + 0.2 = 1.2 0.2x = 1.2 Divide each side by '0.2'. x = 6 Simplifying x = 6
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