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Simplifying 6(8 + 7x) + 2 = 12 + 4x (8 * 6 + 7x * 6) + 2 = 12 + 4x (48 + 42x) + 2 = 12 + 4x Reorder the terms: 48 + 2 + 42x = 12 + 4x Combine like terms: 48 + 2 = 50 50 + 42x = 12 + 4x Solving 50 + 42x = 12 + 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. 50 + 42x + -4x = 12 + 4x + -4x Combine like terms: 42x + -4x = 38x 50 + 38x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 50 + 38x = 12 + 0 50 + 38x = 12 Add '-50' to each side of the equation. 50 + -50 + 38x = 12 + -50 Combine like terms: 50 + -50 = 0 0 + 38x = 12 + -50 38x = 12 + -50 Combine like terms: 12 + -50 = -38 38x = -38 Divide each side by '38'. x = -1 Simplifying x = -1
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