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Simplifying 12x + 8 + -5x + -2 = 3x + x + -21 + 6 Reorder the terms: 8 + -2 + 12x + -5x = 3x + x + -21 + 6 Combine like terms: 8 + -2 = 6 6 + 12x + -5x = 3x + x + -21 + 6 Combine like terms: 12x + -5x = 7x 6 + 7x = 3x + x + -21 + 6 Reorder the terms: 6 + 7x = -21 + 6 + 3x + x Combine like terms: -21 + 6 = -15 6 + 7x = -15 + 3x + x Combine like terms: 3x + x = 4x 6 + 7x = -15 + 4x Solving 6 + 7x = -15 + 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. 6 + 7x + -4x = -15 + 4x + -4x Combine like terms: 7x + -4x = 3x 6 + 3x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 3x = -15 + 0 6 + 3x = -15 Add '-6' to each side of the equation. 6 + -6 + 3x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -15 + -6 3x = -15 + -6 Combine like terms: -15 + -6 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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