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Simplifying 5.2x + 10 = 3.2x + 18 Reorder the terms: 10 + 5.2x = 3.2x + 18 Reorder the terms: 10 + 5.2x = 18 + 3.2x Solving 10 + 5.2x = 18 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 10 + 5.2x + -3.2x = 18 + 3.2x + -3.2x Combine like terms: 5.2x + -3.2x = 2x 10 + 2x = 18 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 10 + 2x = 18 + 0.0 10 + 2x = 18 Add '-10' to each side of the equation. 10 + -10 + 2x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 18 + -10 2x = 18 + -10 Combine like terms: 18 + -10 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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