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Simplifying -0.3x + 8 = 0.4x + -6 Reorder the terms: 8 + -0.3x = 0.4x + -6 Reorder the terms: 8 + -0.3x = -6 + 0.4x Solving 8 + -0.3x = -6 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 8 + -0.3x + -0.4x = -6 + 0.4x + -0.4x Combine like terms: -0.3x + -0.4x = -0.7x 8 + -0.7x = -6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 8 + -0.7x = -6 + 0.0 8 + -0.7x = -6 Add '-8' to each side of the equation. 8 + -8 + -0.7x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -0.7x = -6 + -8 -0.7x = -6 + -8 Combine like terms: -6 + -8 = -14 -0.7x = -14 Divide each side by '-0.7'. x = 20 Simplifying x = 20
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