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Simplifying 0.7(x + 14.1) = 0.3(x + 32.9) Reorder the terms: 0.7(14.1 + x) = 0.3(x + 32.9) (14.1 * 0.7 + x * 0.7) = 0.3(x + 32.9) (9.87 + 0.7x) = 0.3(x + 32.9) Reorder the terms: 9.87 + 0.7x = 0.3(32.9 + x) 9.87 + 0.7x = (32.9 * 0.3 + x * 0.3) 9.87 + 0.7x = (9.87 + 0.3x) Add '-9.87' to each side of the equation. 9.87 + -9.87 + 0.7x = 9.87 + -9.87 + 0.3x Combine like terms: 9.87 + -9.87 = 0.00 0.00 + 0.7x = 9.87 + -9.87 + 0.3x 0.7x = 9.87 + -9.87 + 0.3x Combine like terms: 9.87 + -9.87 = 0.00 0.7x = 0.00 + 0.3x 0.7x = 0.3x Solving 0.7x = 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. 0.7x + -0.3x = 0.3x + -0.3x Combine like terms: 0.7x + -0.3x = 0.4x 0.4x = 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.4x = 0.0 Divide each side by '0.4'. x = 0 Simplifying x = 0
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