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Simplifying 6 + 0.6x = 14 + -0.2x Solving 6 + 0.6x = 14 + -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 = 14 + -0.2x + 0.2x Combine like terms: 0.6x + 0.2x = 0.8x 6 + 0.8x = 14 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 6 + 0.8x = 14 + 0.0 6 + 0.8x = 14 Add '-6' to each side of the equation. 6 + -6 + 0.8x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 0.8x = 14 + -6 0.8x = 14 + -6 Combine like terms: 14 + -6 = 8 0.8x = 8 Divide each side by '0.8'. x = 10 Simplifying x = 10
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