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Simplifying 2(x + 8) = -2(x + 3) Reorder the terms: 2(8 + x) = -2(x + 3) (8 * 2 + x * 2) = -2(x + 3) (16 + 2x) = -2(x + 3) Reorder the terms: 16 + 2x = -2(3 + x) 16 + 2x = (3 * -2 + x * -2) 16 + 2x = (-6 + -2x) Solving 16 + 2x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 16 + 2x + 2x = -6 + -2x + 2x Combine like terms: 2x + 2x = 4x 16 + 4x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 16 + 4x = -6 + 0 16 + 4x = -6 Add '-16' to each side of the equation. 16 + -16 + 4x = -6 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = -6 + -16 4x = -6 + -16 Combine like terms: -6 + -16 = -22 4x = -22 Divide each side by '4'. x = -5.5 Simplifying x = -5.5
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