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Simplifying 2x + 1 + 3x + -4 + 1x + 1 = 52 Reorder the terms: 1 + -4 + 1 + 2x + 3x + 1x = 52 Combine like terms: 1 + -4 = -3 -3 + 1 + 2x + 3x + 1x = 52 Combine like terms: -3 + 1 = -2 -2 + 2x + 3x + 1x = 52 Combine like terms: 2x + 3x = 5x -2 + 5x + 1x = 52 Combine like terms: 5x + 1x = 6x -2 + 6x = 52 Solving -2 + 6x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6x = 52 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 52 + 2 6x = 52 + 2 Combine like terms: 52 + 2 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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