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Simplifying 0.4x + -0.7 = 0.3x + 7 Reorder the terms: -0.7 + 0.4x = 0.3x + 7 Reorder the terms: -0.7 + 0.4x = 7 + 0.3x Solving -0.7 + 0.4x = 7 + 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. -0.7 + 0.4x + -0.3x = 7 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x -0.7 + 0.1x = 7 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.7 + 0.1x = 7 + 0.0 -0.7 + 0.1x = 7 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.1x = 7 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.1x = 7 + 0.7 0.1x = 7 + 0.7 Combine like terms: 7 + 0.7 = 7.7 0.1x = 7.7 Divide each side by '0.1'. x = 77 Simplifying x = 77
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