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Simplifying 0.0x + 3.2 = 0.4x + -0.2x + 3.2 Anything times zero is zero. 0.0x + 3.2 = 0.4x + -0.2x + 3.2 Combine like terms: 0.0 + 3.2 = 3.2 3.2 = 0.4x + -0.2x + 3.2 Reorder the terms: 3.2 = 3.2 + 0.4x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 3.2 = 3.2 + 0.2x Add '-3.2' to each side of the equation. 3.2 + -3.2 = 3.2 + -3.2 + 0.2x Combine like terms: 3.2 + -3.2 = 0.0 0.0 = 3.2 + -3.2 + 0.2x Combine like terms: 3.2 + -3.2 = 0.0 0.0 = 0.0 + 0.2x 0.0 = 0.2x Solving 0.0 = 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.0 + -0.2x = 0.2x + -0.2x Remove the zero: -0.2x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.2x = 0.0 Divide each side by '-0.2'. x = 0 Simplifying x = 0
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