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Simplifying 0.4x + 6 = 2x + -8 Reorder the terms: 6 + 0.4x = 2x + -8 Reorder the terms: 6 + 0.4x = -8 + 2x Solving 6 + 0.4x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 0.4x + -2x = -8 + 2x + -2x Combine like terms: 0.4x + -2x = -1.6x 6 + -1.6x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1.6x = -8 + 0 6 + -1.6x = -8 Add '-6' to each side of the equation. 6 + -6 + -1.6x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -1.6x = -8 + -6 -1.6x = -8 + -6 Combine like terms: -8 + -6 = -14 -1.6x = -14 Divide each side by '-1.6'. x = 8.75 Simplifying x = 8.75
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