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Simplifying 5.2x + 1 = 4x + 3 Reorder the terms: 1 + 5.2x = 4x + 3 Reorder the terms: 1 + 5.2x = 3 + 4x Solving 1 + 5.2x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 5.2x + -4x = 3 + 4x + -4x Combine like terms: 5.2x + -4x = 1.2x 1 + 1.2x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 1.2x = 3 + 0 1 + 1.2x = 3 Add '-1' to each side of the equation. 1 + -1 + 1.2x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 1.2x = 3 + -1 1.2x = 3 + -1 Combine like terms: 3 + -1 = 2 1.2x = 2 Divide each side by '1.2'. x = 1.666666667 Simplifying x = 1.666666667
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