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Simplifying 0.5x + 5.4 = -0.3x + -2.6 Reorder the terms: 5.4 + 0.5x = -0.3x + -2.6 Reorder the terms: 5.4 + 0.5x = -2.6 + -0.3x Solving 5.4 + 0.5x = -2.6 + -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. 5.4 + 0.5x + 0.3x = -2.6 + -0.3x + 0.3x Combine like terms: 0.5x + 0.3x = 0.8x 5.4 + 0.8x = -2.6 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 5.4 + 0.8x = -2.6 + 0.0 5.4 + 0.8x = -2.6 Add '-5.4' to each side of the equation. 5.4 + -5.4 + 0.8x = -2.6 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 0.8x = -2.6 + -5.4 0.8x = -2.6 + -5.4 Combine like terms: -2.6 + -5.4 = -8 0.8x = -8 Divide each side by '0.8'. x = -10 Simplifying x = -10
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