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Simplifying -8(x + 4) = 3 + -7x Reorder the terms: -8(4 + x) = 3 + -7x (4 * -8 + x * -8) = 3 + -7x (-32 + -8x) = 3 + -7x Solving -32 + -8x = 3 + -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. -32 + -8x + 7x = 3 + -7x + 7x Combine like terms: -8x + 7x = -1x -32 + -1x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 -32 + -1x = 3 + 0 -32 + -1x = 3 Add '32' to each side of the equation. -32 + 32 + -1x = 3 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 3 + 32 -1x = 3 + 32 Combine like terms: 3 + 32 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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