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Simplifying -0.4x + 8 = -62.4 + 6x Reorder the terms: 8 + -0.4x = -62.4 + 6x Solving 8 + -0.4x = -62.4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -0.4x + -6x = -62.4 + 6x + -6x Combine like terms: -0.4x + -6x = -6.4x 8 + -6.4x = -62.4 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -6.4x = -62.4 + 0 8 + -6.4x = -62.4 Add '-8' to each side of the equation. 8 + -8 + -6.4x = -62.4 + -8 Combine like terms: 8 + -8 = 0 0 + -6.4x = -62.4 + -8 -6.4x = -62.4 + -8 Combine like terms: -62.4 + -8 = -70.4 -6.4x = -70.4 Divide each side by '-6.4'. x = 11 Simplifying x = 11
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