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Simplifying 5x + 16 = -7(x + 8) Reorder the terms: 16 + 5x = -7(x + 8) Reorder the terms: 16 + 5x = -7(8 + x) 16 + 5x = (8 * -7 + x * -7) 16 + 5x = (-56 + -7x) Solving 16 + 5x = -56 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 16 + 5x + 7x = -56 + -7x + 7x Combine like terms: 5x + 7x = 12x 16 + 12x = -56 + -7x + 7x Combine like terms: -7x + 7x = 0 16 + 12x = -56 + 0 16 + 12x = -56 Add '-16' to each side of the equation. 16 + -16 + 12x = -56 + -16 Combine like terms: 16 + -16 = 0 0 + 12x = -56 + -16 12x = -56 + -16 Combine like terms: -56 + -16 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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