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Simplifying 7(x + 2) = 3(x + -6) Reorder the terms: 7(2 + x) = 3(x + -6) (2 * 7 + x * 7) = 3(x + -6) (14 + 7x) = 3(x + -6) Reorder the terms: 14 + 7x = 3(-6 + x) 14 + 7x = (-6 * 3 + x * 3) 14 + 7x = (-18 + 3x) Solving 14 + 7x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 7x + -3x = -18 + 3x + -3x Combine like terms: 7x + -3x = 4x 14 + 4x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 4x = -18 + 0 14 + 4x = -18 Add '-14' to each side of the equation. 14 + -14 + 4x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = -18 + -14 4x = -18 + -14 Combine like terms: -18 + -14 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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