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Simplifying -6(x + 5) = -8x + -16 Reorder the terms: -6(5 + x) = -8x + -16 (5 * -6 + x * -6) = -8x + -16 (-30 + -6x) = -8x + -16 Reorder the terms: -30 + -6x = -16 + -8x Solving -30 + -6x = -16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -30 + -6x + 8x = -16 + -8x + 8x Combine like terms: -6x + 8x = 2x -30 + 2x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + 2x = -16 + 0 -30 + 2x = -16 Add '30' to each side of the equation. -30 + 30 + 2x = -16 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -16 + 30 2x = -16 + 30 Combine like terms: -16 + 30 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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