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Simplifying 0.5x + -0.5 = 0.6x + -6 Reorder the terms: -0.5 + 0.5x = 0.6x + -6 Reorder the terms: -0.5 + 0.5x = -6 + 0.6x Solving -0.5 + 0.5x = -6 + 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 + 0.5x + -0.6x = -6 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x -0.5 + -0.1x = -6 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -0.5 + -0.1x = -6 + 0.0 -0.5 + -0.1x = -6 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.1x = -6 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.1x = -6 + 0.5 -0.1x = -6 + 0.5 Combine like terms: -6 + 0.5 = -5.5 -0.1x = -5.5 Divide each side by '-0.1'. x = 55 Simplifying x = 55
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