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Simplifying 0.7x + -0.5 = 0.6x + 7 Reorder the terms: -0.5 + 0.7x = 0.6x + 7 Reorder the terms: -0.5 + 0.7x = 7 + 0.6x Solving -0.5 + 0.7x = 7 + 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 + 0.7x + -0.6x = 7 + 0.6x + -0.6x Combine like terms: 0.7x + -0.6x = 0.1x -0.5 + 0.1x = 7 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -0.5 + 0.1x = 7 + 0.0 -0.5 + 0.1x = 7 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.1x = 7 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.1x = 7 + 0.5 0.1x = 7 + 0.5 Combine like terms: 7 + 0.5 = 7.5 0.1x = 7.5 Divide each side by '0.1'. x = 75 Simplifying x = 75
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