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Simplifying 2(3x + 7) + 8 = 6 + 2x Reorder the terms: 2(7 + 3x) + 8 = 6 + 2x (7 * 2 + 3x * 2) + 8 = 6 + 2x (14 + 6x) + 8 = 6 + 2x Reorder the terms: 14 + 8 + 6x = 6 + 2x Combine like terms: 14 + 8 = 22 22 + 6x = 6 + 2x Solving 22 + 6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 22 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x 22 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + 4x = 6 + 0 22 + 4x = 6 Add '-22' to each side of the equation. 22 + -22 + 4x = 6 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 6 + -22 4x = 6 + -22 Combine like terms: 6 + -22 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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