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Simplifying 0.3x + 0.8x + -1.6x + -10 = 0.1x + 0.7x + 2 Reorder the terms: -10 + 0.3x + 0.8x + -1.6x = 0.1x + 0.7x + 2 Combine like terms: 0.3x + 0.8x = 1.1x -10 + 1.1x + -1.6x = 0.1x + 0.7x + 2 Combine like terms: 1.1x + -1.6x = -0.5x -10 + -0.5x = 0.1x + 0.7x + 2 Reorder the terms: -10 + -0.5x = 2 + 0.1x + 0.7x Combine like terms: 0.1x + 0.7x = 0.8x -10 + -0.5x = 2 + 0.8x Solving -10 + -0.5x = 2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -10 + -0.5x + -0.8x = 2 + 0.8x + -0.8x Combine like terms: -0.5x + -0.8x = -1.3x -10 + -1.3x = 2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -10 + -1.3x = 2 + 0.0 -10 + -1.3x = 2 Add '10' to each side of the equation. -10 + 10 + -1.3x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -1.3x = 2 + 10 -1.3x = 2 + 10 Combine like terms: 2 + 10 = 12 -1.3x = 12 Divide each side by '-1.3'. x = -9.230769231 Simplifying x = -9.230769231
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