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Simplifying 0.4x + 0.5 = 0.6x + 0.7 + 0.8x Reorder the terms: 0.5 + 0.4x = 0.6x + 0.7 + 0.8x Reorder the terms: 0.5 + 0.4x = 0.7 + 0.6x + 0.8x Combine like terms: 0.6x + 0.8x = 1.4x 0.5 + 0.4x = 0.7 + 1.4x Solving 0.5 + 0.4x = 0.7 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 0.5 + 0.4x + -1.4x = 0.7 + 1.4x + -1.4x Combine like terms: 0.4x + -1.4x = -1x 0.5 + -1x = 0.7 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 0.5 + -1x = 0.7 + 0.0 0.5 + -1x = 0.7 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1x = 0.7 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1x = 0.7 + -0.5 -1x = 0.7 + -0.5 Combine like terms: 0.7 + -0.5 = 0.2 -1x = 0.2 Divide each side by '-1'. x = -0.2 Simplifying x = -0.2
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