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Simplifying 5.2x + -9 = 4.2x + 5 Reorder the terms: -9 + 5.2x = 4.2x + 5 Reorder the terms: -9 + 5.2x = 5 + 4.2x Solving -9 + 5.2x = 5 + 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. -9 + 5.2x + -4.2x = 5 + 4.2x + -4.2x Combine like terms: 5.2x + -4.2x = 1x -9 + 1x = 5 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 -9 + 1x = 5 + 0.0 -9 + 1x = 5 Add '9' to each side of the equation. -9 + 9 + 1x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 5 + 9 1x = 5 + 9 Combine like terms: 5 + 9 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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