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Simplifying 0.4x + 0.5 = 0.6x + 0.7 + 0.8 Reorder the terms: 0.5 + 0.4x = 0.6x + 0.7 + 0.8 Reorder the terms: 0.5 + 0.4x = 0.7 + 0.8 + 0.6x Combine like terms: 0.7 + 0.8 = 1.5 0.5 + 0.4x = 1.5 + 0.6x Solving 0.5 + 0.4x = 1.5 + 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. 0.5 + 0.4x + -0.6x = 1.5 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 0.5 + -0.2x = 1.5 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.5 + -0.2x = 1.5 + 0.0 0.5 + -0.2x = 1.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.2x = 1.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.2x = 1.5 + -0.5 -0.2x = 1.5 + -0.5 Combine like terms: 1.5 + -0.5 = 1 -0.2x = 1 Divide each side by '-0.2'. x = -5 Simplifying x = -5
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