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Simplifying 0.4x + 1.4 = 0.8x + -0.6 Reorder the terms: 1.4 + 0.4x = 0.8x + -0.6 Reorder the terms: 1.4 + 0.4x = -0.6 + 0.8x Solving 1.4 + 0.4x = -0.6 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 1.4 + 0.4x + -0.8x = -0.6 + 0.8x + -0.8x Combine like terms: 0.4x + -0.8x = -0.4x 1.4 + -0.4x = -0.6 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1.4 + -0.4x = -0.6 + 0.0 1.4 + -0.4x = -0.6 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -0.4x = -0.6 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.4x = -0.6 + -1.4 -0.4x = -0.6 + -1.4 Combine like terms: -0.6 + -1.4 = -2 -0.4x = -2 Divide each side by '-0.4'. x = 5 Simplifying x = 5
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