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Simplifying (8 + 2x) * 2 = 2 + -10x Reorder the terms for easier multiplication: 2(8 + 2x) = 2 + -10x (8 * 2 + 2x * 2) = 2 + -10x (16 + 4x) = 2 + -10x Solving 16 + 4x = 2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 16 + 4x + 10x = 2 + -10x + 10x Combine like terms: 4x + 10x = 14x 16 + 14x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 16 + 14x = 2 + 0 16 + 14x = 2 Add '-16' to each side of the equation. 16 + -16 + 14x = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 14x = 2 + -16 14x = 2 + -16 Combine like terms: 2 + -16 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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