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Simplifying 10.2x + -5.2 + 7.8x + -3.5 = 0 Reorder the terms: -5.2 + -3.5 + 10.2x + 7.8x = 0 Combine like terms: -5.2 + -3.5 = -8.7 -8.7 + 10.2x + 7.8x = 0 Combine like terms: 10.2x + 7.8x = 18x -8.7 + 18x = 0 Solving -8.7 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.7' to each side of the equation. -8.7 + 8.7 + 18x = 0 + 8.7 Combine like terms: -8.7 + 8.7 = 0.0 0.0 + 18x = 0 + 8.7 18x = 0 + 8.7 Combine like terms: 0 + 8.7 = 8.7 18x = 8.7 Divide each side by '18'. x = 0.4833333333 Simplifying x = 0.4833333333
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