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Simplifying 0.4x + 0.8 = 0.7x + -0.4 Reorder the terms: 0.8 + 0.4x = 0.7x + -0.4 Reorder the terms: 0.8 + 0.4x = -0.4 + 0.7x Solving 0.8 + 0.4x = -0.4 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 0.8 + 0.4x + -0.7x = -0.4 + 0.7x + -0.7x Combine like terms: 0.4x + -0.7x = -0.3x 0.8 + -0.3x = -0.4 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 0.8 + -0.3x = -0.4 + 0.0 0.8 + -0.3x = -0.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.3x = -0.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.3x = -0.4 + -0.8 -0.3x = -0.4 + -0.8 Combine like terms: -0.4 + -0.8 = -1.2 -0.3x = -1.2 Divide each side by '-0.3'. x = 4 Simplifying x = 4
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