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Simplifying 2x + 16 = -5(x + 8) Reorder the terms: 16 + 2x = -5(x + 8) Reorder the terms: 16 + 2x = -5(8 + x) 16 + 2x = (8 * -5 + x * -5) 16 + 2x = (-40 + -5x) Solving 16 + 2x = -40 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 16 + 2x + 5x = -40 + -5x + 5x Combine like terms: 2x + 5x = 7x 16 + 7x = -40 + -5x + 5x Combine like terms: -5x + 5x = 0 16 + 7x = -40 + 0 16 + 7x = -40 Add '-16' to each side of the equation. 16 + -16 + 7x = -40 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = -40 + -16 7x = -40 + -16 Combine like terms: -40 + -16 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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