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Simplifying 0.6x + -1 = 0.4x + -5 Reorder the terms: -1 + 0.6x = 0.4x + -5 Reorder the terms: -1 + 0.6x = -5 + 0.4x Solving -1 + 0.6x = -5 + 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. -1 + 0.6x + -0.4x = -5 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x -1 + 0.2x = -5 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -1 + 0.2x = -5 + 0.0 -1 + 0.2x = -5 Add '1' to each side of the equation. -1 + 1 + 0.2x = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 0.2x = -5 + 1 0.2x = -5 + 1 Combine like terms: -5 + 1 = -4 0.2x = -4 Divide each side by '0.2'. x = -20 Simplifying x = -20
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