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Simplifying 32 + 0.7x = 50 + 0.3x Solving 32 + 0.7x = 50 + 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. 32 + 0.7x + -0.3x = 50 + 0.3x + -0.3x Combine like terms: 0.7x + -0.3x = 0.4x 32 + 0.4x = 50 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 32 + 0.4x = 50 + 0.0 32 + 0.4x = 50 Add '-32' to each side of the equation. 32 + -32 + 0.4x = 50 + -32 Combine like terms: 32 + -32 = 0 0 + 0.4x = 50 + -32 0.4x = 50 + -32 Combine like terms: 50 + -32 = 18 0.4x = 18 Divide each side by '0.4'. x = 45 Simplifying x = 45
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