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Simplifying 5.2x + 3 = 1.2x + 15 Reorder the terms: 3 + 5.2x = 1.2x + 15 Reorder the terms: 3 + 5.2x = 15 + 1.2x Solving 3 + 5.2x = 15 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 3 + 5.2x + -1.2x = 15 + 1.2x + -1.2x Combine like terms: 5.2x + -1.2x = 4x 3 + 4x = 15 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 3 + 4x = 15 + 0.0 3 + 4x = 15 Add '-3' to each side of the equation. 3 + -3 + 4x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 15 + -3 4x = 15 + -3 Combine like terms: 15 + -3 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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