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Simplifying 5.1x + 21.3 = -0.3x + -24.6 Reorder the terms: 21.3 + 5.1x = -0.3x + -24.6 Reorder the terms: 21.3 + 5.1x = -24.6 + -0.3x Solving 21.3 + 5.1x = -24.6 + -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. 21.3 + 5.1x + 0.3x = -24.6 + -0.3x + 0.3x Combine like terms: 5.1x + 0.3x = 5.4x 21.3 + 5.4x = -24.6 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 21.3 + 5.4x = -24.6 + 0.0 21.3 + 5.4x = -24.6 Add '-21.3' to each side of the equation. 21.3 + -21.3 + 5.4x = -24.6 + -21.3 Combine like terms: 21.3 + -21.3 = 0.0 0.0 + 5.4x = -24.6 + -21.3 5.4x = -24.6 + -21.3 Combine like terms: -24.6 + -21.3 = -45.9 5.4x = -45.9 Divide each side by '5.4'. x = -8.5 Simplifying x = -8.5
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