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Simplifying 0.6x + 6 = 0.2x + 5 Reorder the terms: 6 + 0.6x = 0.2x + 5 Reorder the terms: 6 + 0.6x = 5 + 0.2x Solving 6 + 0.6x = 5 + 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. 6 + 0.6x + -0.2x = 5 + 0.2x + -0.2x Combine like terms: 0.6x + -0.2x = 0.4x 6 + 0.4x = 5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 6 + 0.4x = 5 + 0.0 6 + 0.4x = 5 Add '-6' to each side of the equation. 6 + -6 + 0.4x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 0.4x = 5 + -6 0.4x = 5 + -6 Combine like terms: 5 + -6 = -1 0.4x = -1 Divide each side by '0.4'. x = -2.5 Simplifying x = -2.5
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