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Simplifying 0.2x + 1.8 = 0.5x + -0.3 Reorder the terms: 1.8 + 0.2x = 0.5x + -0.3 Reorder the terms: 1.8 + 0.2x = -0.3 + 0.5x Solving 1.8 + 0.2x = -0.3 + 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. 1.8 + 0.2x + -0.5x = -0.3 + 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x 1.8 + -0.3x = -0.3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.8 + -0.3x = -0.3 + 0.0 1.8 + -0.3x = -0.3 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.3x = -0.3 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.3x = -0.3 + -1.8 -0.3x = -0.3 + -1.8 Combine like terms: -0.3 + -1.8 = -2.1 -0.3x = -2.1 Divide each side by '-0.3'. x = 7 Simplifying x = 7
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