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Simplifying -0.4 + 0.15x = 1 + 0.5x Solving -0.4 + 0.15x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -0.4 + 0.15x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 0.15x + -0.5x = -0.35x -0.4 + -0.35x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.4 + -0.35x = 1 + 0.0 -0.4 + -0.35x = 1 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.35x = 1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.35x = 1 + 0.4 -0.35x = 1 + 0.4 Combine like terms: 1 + 0.4 = 1.4 -0.35x = 1.4 Divide each side by '-0.35'. x = -4 Simplifying x = -4
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