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Simplifying 12.2 + 0.3x = 0.7x + 10.6 Reorder the terms: 12.2 + 0.3x = 10.6 + 0.7x Solving 12.2 + 0.3x = 10.6 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 12.2 + 0.3x + -0.7x = 10.6 + 0.7x + -0.7x Combine like terms: 0.3x + -0.7x = -0.4x 12.2 + -0.4x = 10.6 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 12.2 + -0.4x = 10.6 + 0.0 12.2 + -0.4x = 10.6 Add '-12.2' to each side of the equation. 12.2 + -12.2 + -0.4x = 10.6 + -12.2 Combine like terms: 12.2 + -12.2 = 0.0 0.0 + -0.4x = 10.6 + -12.2 -0.4x = 10.6 + -12.2 Combine like terms: 10.6 + -12.2 = -1.6 -0.4x = -1.6 Divide each side by '-0.4'. x = 4 Simplifying x = 4
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