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Simplifying 5x + -2 + 7x = 7x + 54 + -3x Reorder the terms: -2 + 5x + 7x = 7x + 54 + -3x Combine like terms: 5x + 7x = 12x -2 + 12x = 7x + 54 + -3x Reorder the terms: -2 + 12x = 54 + 7x + -3x Combine like terms: 7x + -3x = 4x -2 + 12x = 54 + 4x Solving -2 + 12x = 54 + 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. -2 + 12x + -4x = 54 + 4x + -4x Combine like terms: 12x + -4x = 8x -2 + 8x = 54 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 8x = 54 + 0 -2 + 8x = 54 Add '2' to each side of the equation. -2 + 2 + 8x = 54 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 54 + 2 8x = 54 + 2 Combine like terms: 54 + 2 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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