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Simplifying 15 + 3x + 6 = -7x + 2x + 2 Reorder the terms: 15 + 6 + 3x = -7x + 2x + 2 Combine like terms: 15 + 6 = 21 21 + 3x = -7x + 2x + 2 Reorder the terms: 21 + 3x = 2 + -7x + 2x Combine like terms: -7x + 2x = -5x 21 + 3x = 2 + -5x Solving 21 + 3x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 21 + 3x + 5x = 2 + -5x + 5x Combine like terms: 3x + 5x = 8x 21 + 8x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 8x = 2 + 0 21 + 8x = 2 Add '-21' to each side of the equation. 21 + -21 + 8x = 2 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 2 + -21 8x = 2 + -21 Combine like terms: 2 + -21 = -19 8x = -19 Divide each side by '8'. x = -2.375 Simplifying x = -2.375
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