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Simplifying 3.5x + -9.5 = 0.5x + 10.5 Reorder the terms: -9.5 + 3.5x = 0.5x + 10.5 Reorder the terms: -9.5 + 3.5x = 10.5 + 0.5x Solving -9.5 + 3.5x = 10.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -9.5 + 3.5x + -0.5x = 10.5 + 0.5x + -0.5x Combine like terms: 3.5x + -0.5x = 3x -9.5 + 3x = 10.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -9.5 + 3x = 10.5 + 0.0 -9.5 + 3x = 10.5 Add '9.5' to each side of the equation. -9.5 + 9.5 + 3x = 10.5 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + 3x = 10.5 + 9.5 3x = 10.5 + 9.5 Combine like terms: 10.5 + 9.5 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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