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Simplifying 0.5x + 5 = 0.6x + -2 Reorder the terms: 5 + 0.5x = 0.6x + -2 Reorder the terms: 5 + 0.5x = -2 + 0.6x Solving 5 + 0.5x = -2 + 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. 5 + 0.5x + -0.6x = -2 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x 5 + -0.1x = -2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 5 + -0.1x = -2 + 0.0 5 + -0.1x = -2 Add '-5' to each side of the equation. 5 + -5 + -0.1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -0.1x = -2 + -5 -0.1x = -2 + -5 Combine like terms: -2 + -5 = -7 -0.1x = -7 Divide each side by '-0.1'. x = 70 Simplifying x = 70
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