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Simplifying 0.7x + 5 = 0.3x + 14 Reorder the terms: 5 + 0.7x = 0.3x + 14 Reorder the terms: 5 + 0.7x = 14 + 0.3x Solving 5 + 0.7x = 14 + 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. 5 + 0.7x + -0.3x = 14 + 0.3x + -0.3x Combine like terms: 0.7x + -0.3x = 0.4x 5 + 0.4x = 14 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 5 + 0.4x = 14 + 0.0 5 + 0.4x = 14 Add '-5' to each side of the equation. 5 + -5 + 0.4x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 0.4x = 14 + -5 0.4x = 14 + -5 Combine like terms: 14 + -5 = 9 0.4x = 9 Divide each side by '0.4'. x = 22.5 Simplifying x = 22.5
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