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Simplifying 0.7x + 2 = 0.4x + 8 Reorder the terms: 2 + 0.7x = 0.4x + 8 Reorder the terms: 2 + 0.7x = 8 + 0.4x Solving 2 + 0.7x = 8 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 2 + 0.7x + -0.4x = 8 + 0.4x + -0.4x Combine like terms: 0.7x + -0.4x = 0.3x 2 + 0.3x = 8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 2 + 0.3x = 8 + 0.0 2 + 0.3x = 8 Add '-2' to each side of the equation. 2 + -2 + 0.3x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 0.3x = 8 + -2 0.3x = 8 + -2 Combine like terms: 8 + -2 = 6 0.3x = 6 Divide each side by '0.3'. x = 20 Simplifying x = 20
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