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Simplifying 5x + 2 = 7x + 2 + -2X Reorder the terms: 2 + 5x = 7x + 2 + -2X Reorder the terms: 2 + 5x = 2 + -2X + 7x Add '-2' to each side of the equation. 2 + -2 + 5x = 2 + -2X + -2 + 7x Combine like terms: 2 + -2 = 0 0 + 5x = 2 + -2X + -2 + 7x 5x = 2 + -2X + -2 + 7x Reorder the terms: 5x = 2 + -2 + -2X + 7x Combine like terms: 2 + -2 = 0 5x = 0 + -2X + 7x 5x = -2X + 7x Solving 5x = -2X + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5x + -7x = -2X + 7x + -7x Combine like terms: 5x + -7x = -2x -2x = -2X + 7x + -7x Combine like terms: 7x + -7x = 0 -2x = -2X + 0 -2x = -2X Divide each side by '-2'. x = X Simplifying x = X
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