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Simplifying 0.5x + 1.9 = 0.8x + -0.2 Reorder the terms: 1.9 + 0.5x = 0.8x + -0.2 Reorder the terms: 1.9 + 0.5x = -0.2 + 0.8x Solving 1.9 + 0.5x = -0.2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 1.9 + 0.5x + -0.8x = -0.2 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 1.9 + -0.3x = -0.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1.9 + -0.3x = -0.2 + 0.0 1.9 + -0.3x = -0.2 Add '-1.9' to each side of the equation. 1.9 + -1.9 + -0.3x = -0.2 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + -0.3x = -0.2 + -1.9 -0.3x = -0.2 + -1.9 Combine like terms: -0.2 + -1.9 = -2.1 -0.3x = -2.1 Divide each side by '-0.3'. x = 7 Simplifying x = 7
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