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Simplifying 5x + -19 + 7x + -84 = 6x + 23 Reorder the terms: -19 + -84 + 5x + 7x = 6x + 23 Combine like terms: -19 + -84 = -103 -103 + 5x + 7x = 6x + 23 Combine like terms: 5x + 7x = 12x -103 + 12x = 6x + 23 Reorder the terms: -103 + 12x = 23 + 6x Solving -103 + 12x = 23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -103 + 12x + -6x = 23 + 6x + -6x Combine like terms: 12x + -6x = 6x -103 + 6x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 -103 + 6x = 23 + 0 -103 + 6x = 23 Add '103' to each side of the equation. -103 + 103 + 6x = 23 + 103 Combine like terms: -103 + 103 = 0 0 + 6x = 23 + 103 6x = 23 + 103 Combine like terms: 23 + 103 = 126 6x = 126 Divide each side by '6'. x = 21 Simplifying x = 21
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