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Simplifying 0.5 + 1.5x + 0.6 + -0.3x = 0.83 Reorder the terms: 0.5 + 0.6 + 1.5x + -0.3x = 0.83 Combine like terms: 0.5 + 0.6 = 1.1 1.1 + 1.5x + -0.3x = 0.83 Combine like terms: 1.5x + -0.3x = 1.2x 1.1 + 1.2x = 0.83 Solving 1.1 + 1.2x = 0.83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1' to each side of the equation. 1.1 + -1.1 + 1.2x = 0.83 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + 1.2x = 0.83 + -1.1 1.2x = 0.83 + -1.1 Combine like terms: 0.83 + -1.1 = -0.27 1.2x = -0.27 Divide each side by '1.2'. x = -0.225 Simplifying x = -0.225
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