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Simplifying 0.6x + 3 = 0.5x + -7 Reorder the terms: 3 + 0.6x = 0.5x + -7 Reorder the terms: 3 + 0.6x = -7 + 0.5x Solving 3 + 0.6x = -7 + 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. 3 + 0.6x + -0.5x = -7 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 3 + 0.1x = -7 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + 0.1x = -7 + 0.0 3 + 0.1x = -7 Add '-3' to each side of the equation. 3 + -3 + 0.1x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 0.1x = -7 + -3 0.1x = -7 + -3 Combine like terms: -7 + -3 = -10 0.1x = -10 Divide each side by '0.1'. x = -100 Simplifying x = -100
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