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Simplifying 0.7x + -10 = 0.3x + 10 Reorder the terms: -10 + 0.7x = 0.3x + 10 Reorder the terms: -10 + 0.7x = 10 + 0.3x Solving -10 + 0.7x = 10 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -10 + 0.7x + -0.3x = 10 + 0.3x + -0.3x Combine like terms: 0.7x + -0.3x = 0.4x -10 + 0.4x = 10 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -10 + 0.4x = 10 + 0.0 -10 + 0.4x = 10 Add '10' to each side of the equation. -10 + 10 + 0.4x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 0.4x = 10 + 10 0.4x = 10 + 10 Combine like terms: 10 + 10 = 20 0.4x = 20 Divide each side by '0.4'. x = 50 Simplifying x = 50
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