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Simplifying 0.5x + 1.21 = -0.3x + 2.81 Reorder the terms: 1.21 + 0.5x = -0.3x + 2.81 Reorder the terms: 1.21 + 0.5x = 2.81 + -0.3x Solving 1.21 + 0.5x = 2.81 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 1.21 + 0.5x + 0.3x = 2.81 + -0.3x + 0.3x Combine like terms: 0.5x + 0.3x = 0.8x 1.21 + 0.8x = 2.81 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 1.21 + 0.8x = 2.81 + 0.0 1.21 + 0.8x = 2.81 Add '-1.21' to each side of the equation. 1.21 + -1.21 + 0.8x = 2.81 + -1.21 Combine like terms: 1.21 + -1.21 = 0.00 0.00 + 0.8x = 2.81 + -1.21 0.8x = 2.81 + -1.21 Combine like terms: 2.81 + -1.21 = 1.6 0.8x = 1.6 Divide each side by '0.8'. x = 2 Simplifying x = 2
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