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Simplifying 0.5x + 0.6 = -10.9 + -1.8x Reorder the terms: 0.6 + 0.5x = -10.9 + -1.8x Solving 0.6 + 0.5x = -10.9 + -1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.8x' to each side of the equation. 0.6 + 0.5x + 1.8x = -10.9 + -1.8x + 1.8x Combine like terms: 0.5x + 1.8x = 2.3x 0.6 + 2.3x = -10.9 + -1.8x + 1.8x Combine like terms: -1.8x + 1.8x = 0.0 0.6 + 2.3x = -10.9 + 0.0 0.6 + 2.3x = -10.9 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 2.3x = -10.9 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 2.3x = -10.9 + -0.6 2.3x = -10.9 + -0.6 Combine like terms: -10.9 + -0.6 = -11.5 2.3x = -11.5 Divide each side by '2.3'. x = -5 Simplifying x = -5
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