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Simplifying 0.24x + -0.2 = 0.14x + 1 + -0.5x Reorder the terms: -0.2 + 0.24x = 0.14x + 1 + -0.5x Reorder the terms: -0.2 + 0.24x = 1 + 0.14x + -0.5x Combine like terms: 0.14x + -0.5x = -0.36x -0.2 + 0.24x = 1 + -0.36x Solving -0.2 + 0.24x = 1 + -0.36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.36x' to each side of the equation. -0.2 + 0.24x + 0.36x = 1 + -0.36x + 0.36x Combine like terms: 0.24x + 0.36x = 0.6x -0.2 + 0.6x = 1 + -0.36x + 0.36x Combine like terms: -0.36x + 0.36x = 0.00 -0.2 + 0.6x = 1 + 0.00 -0.2 + 0.6x = 1 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.6x = 1 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.6x = 1 + 0.2 0.6x = 1 + 0.2 Combine like terms: 1 + 0.2 = 1.2 0.6x = 1.2 Divide each side by '0.6'. x = 2 Simplifying x = 2
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