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Simplifying 0.7x + 5 = 0.5x + -6 Reorder the terms: 5 + 0.7x = 0.5x + -6 Reorder the terms: 5 + 0.7x = -6 + 0.5x Solving 5 + 0.7x = -6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5 + 0.7x + -0.5x = -6 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 5 + 0.2x = -6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 0.2x = -6 + 0.0 5 + 0.2x = -6 Add '-5' to each side of the equation. 5 + -5 + 0.2x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 0.2x = -6 + -5 0.2x = -6 + -5 Combine like terms: -6 + -5 = -11 0.2x = -11 Divide each side by '0.2'. x = -55 Simplifying x = -55
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