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Simplifying 2x + 2 + 6x + 1 = 5x + -21 Reorder the terms: 2 + 1 + 2x + 6x = 5x + -21 Combine like terms: 2 + 1 = 3 3 + 2x + 6x = 5x + -21 Combine like terms: 2x + 6x = 8x 3 + 8x = 5x + -21 Reorder the terms: 3 + 8x = -21 + 5x Solving 3 + 8x = -21 + 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. 3 + 8x + -5x = -21 + 5x + -5x Combine like terms: 8x + -5x = 3x 3 + 3x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 3x = -21 + 0 3 + 3x = -21 Add '-3' to each side of the equation. 3 + -3 + 3x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -21 + -3 3x = -21 + -3 Combine like terms: -21 + -3 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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