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Simplifying 0.5x + -3 = 0.7x + -6 Reorder the terms: -3 + 0.5x = 0.7x + -6 Reorder the terms: -3 + 0.5x = -6 + 0.7x Solving -3 + 0.5x = -6 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -3 + 0.5x + -0.7x = -6 + 0.7x + -0.7x Combine like terms: 0.5x + -0.7x = -0.2x -3 + -0.2x = -6 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -3 + -0.2x = -6 + 0.0 -3 + -0.2x = -6 Add '3' to each side of the equation. -3 + 3 + -0.2x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -0.2x = -6 + 3 -0.2x = -6 + 3 Combine like terms: -6 + 3 = -3 -0.2x = -3 Divide each side by '-0.2'. x = 15 Simplifying x = 15
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