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Simplifying 0.3x + 8.21 = -0.1x + 3.41 Reorder the terms: 8.21 + 0.3x = -0.1x + 3.41 Reorder the terms: 8.21 + 0.3x = 3.41 + -0.1x Solving 8.21 + 0.3x = 3.41 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 8.21 + 0.3x + 0.1x = 3.41 + -0.1x + 0.1x Combine like terms: 0.3x + 0.1x = 0.4x 8.21 + 0.4x = 3.41 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 8.21 + 0.4x = 3.41 + 0.0 8.21 + 0.4x = 3.41 Add '-8.21' to each side of the equation. 8.21 + -8.21 + 0.4x = 3.41 + -8.21 Combine like terms: 8.21 + -8.21 = 0.00 0.00 + 0.4x = 3.41 + -8.21 0.4x = 3.41 + -8.21 Combine like terms: 3.41 + -8.21 = -4.8 0.4x = -4.8 Divide each side by '0.4'. x = -12 Simplifying x = -12
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