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Simplifying 2(x + 8) = x(6 + -2) Reorder the terms: 2(8 + x) = x(6 + -2) (8 * 2 + x * 2) = x(6 + -2) (16 + 2x) = x(6 + -2) Combine like terms: 6 + -2 = 4 16 + 2x = x(4) Reorder the terms for easier multiplication: 16 + 2x = 4x Solving 16 + 2x = 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. 16 + 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x 16 + -2x = 4x + -4x Combine like terms: 4x + -4x = 0 16 + -2x = 0 Add '-16' to each side of the equation. 16 + -16 + -2x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 0 + -16 -2x = 0 + -16 Combine like terms: 0 + -16 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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