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Simplifying (x + 2) * 8 = 3(2x + -6) Reorder the terms: (2 + x) * 8 = 3(2x + -6) Reorder the terms for easier multiplication: 8(2 + x) = 3(2x + -6) (2 * 8 + x * 8) = 3(2x + -6) (16 + 8x) = 3(2x + -6) Reorder the terms: 16 + 8x = 3(-6 + 2x) 16 + 8x = (-6 * 3 + 2x * 3) 16 + 8x = (-18 + 6x) Solving 16 + 8x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 8x + -6x = -18 + 6x + -6x Combine like terms: 8x + -6x = 2x 16 + 2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 2x = -18 + 0 16 + 2x = -18 Add '-16' to each side of the equation. 16 + -16 + 2x = -18 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = -18 + -16 2x = -18 + -16 Combine like terms: -18 + -16 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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