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Simplifying -8(x + 1) = -16 + -7x Reorder the terms: -8(1 + x) = -16 + -7x (1 * -8 + x * -8) = -16 + -7x (-8 + -8x) = -16 + -7x Solving -8 + -8x = -16 + -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. -8 + -8x + 7x = -16 + -7x + 7x Combine like terms: -8x + 7x = -1x -8 + -1x = -16 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + -1x = -16 + 0 -8 + -1x = -16 Add '8' to each side of the equation. -8 + 8 + -1x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -16 + 8 -1x = -16 + 8 Combine like terms: -16 + 8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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