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Simplifying 0.4x + 8 = 9 + -0.6x Reorder the terms: 8 + 0.4x = 9 + -0.6x Solving 8 + 0.4x = 9 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 8 + 0.4x + 0.6x = 9 + -0.6x + 0.6x Combine like terms: 0.4x + 0.6x = 1x 8 + 1x = 9 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 8 + 1x = 9 + 0.0 8 + 1x = 9 Add '-8' to each side of the equation. 8 + -8 + 1x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 9 + -8 1x = 9 + -8 Combine like terms: 9 + -8 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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