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Simplifying 0.2 + -2.4x + 0.7x + -0.8 = 18.1 + -0.53x + 0.83x + -0.7 Reorder the terms: 0.2 + -0.8 + -2.4x + 0.7x = 18.1 + -0.53x + 0.83x + -0.7 Combine like terms: 0.2 + -0.8 = -0.6 -0.6 + -2.4x + 0.7x = 18.1 + -0.53x + 0.83x + -0.7 Combine like terms: -2.4x + 0.7x = -1.7x -0.6 + -1.7x = 18.1 + -0.53x + 0.83x + -0.7 Reorder the terms: -0.6 + -1.7x = 18.1 + -0.7 + -0.53x + 0.83x Combine like terms: 18.1 + -0.7 = 17.4 -0.6 + -1.7x = 17.4 + -0.53x + 0.83x Combine like terms: -0.53x + 0.83x = 0.3x -0.6 + -1.7x = 17.4 + 0.3x Solving -0.6 + -1.7x = 17.4 + 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. -0.6 + -1.7x + -0.3x = 17.4 + 0.3x + -0.3x Combine like terms: -1.7x + -0.3x = -2x -0.6 + -2x = 17.4 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.6 + -2x = 17.4 + 0.0 -0.6 + -2x = 17.4 Add '0.6' to each side of the equation. -0.6 + 0.6 + -2x = 17.4 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -2x = 17.4 + 0.6 -2x = 17.4 + 0.6 Combine like terms: 17.4 + 0.6 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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