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Simplifying -6(x + -2) + 2(1 + 7x) = 22 Reorder the terms: -6(-2 + x) + 2(1 + 7x) = 22 (-2 * -6 + x * -6) + 2(1 + 7x) = 22 (12 + -6x) + 2(1 + 7x) = 22 12 + -6x + (1 * 2 + 7x * 2) = 22 12 + -6x + (2 + 14x) = 22 Reorder the terms: 12 + 2 + -6x + 14x = 22 Combine like terms: 12 + 2 = 14 14 + -6x + 14x = 22 Combine like terms: -6x + 14x = 8x 14 + 8x = 22 Solving 14 + 8x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8x = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 22 + -14 8x = 22 + -14 Combine like terms: 22 + -14 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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