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Simplifying 8x + 16 = -7(x + 2) Reorder the terms: 16 + 8x = -7(x + 2) Reorder the terms: 16 + 8x = -7(2 + x) 16 + 8x = (2 * -7 + x * -7) 16 + 8x = (-14 + -7x) Solving 16 + 8x = -14 + -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 + 8x + 7x = -14 + -7x + 7x Combine like terms: 8x + 7x = 15x 16 + 15x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 16 + 15x = -14 + 0 16 + 15x = -14 Add '-16' to each side of the equation. 16 + -16 + 15x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + 15x = -14 + -16 15x = -14 + -16 Combine like terms: -14 + -16 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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