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Simplifying 5x + -7 + x = 74 + 2x + -5x Reorder the terms: -7 + 5x + x = 74 + 2x + -5x Combine like terms: 5x + x = 6x -7 + 6x = 74 + 2x + -5x Combine like terms: 2x + -5x = -3x -7 + 6x = 74 + -3x Solving -7 + 6x = 74 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 6x + 3x = 74 + -3x + 3x Combine like terms: 6x + 3x = 9x -7 + 9x = 74 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 9x = 74 + 0 -7 + 9x = 74 Add '7' to each side of the equation. -7 + 7 + 9x = 74 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 74 + 7 9x = 74 + 7 Combine like terms: 74 + 7 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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