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Simplifying -4(2x + 8) = -7(x + -2) Reorder the terms: -4(8 + 2x) = -7(x + -2) (8 * -4 + 2x * -4) = -7(x + -2) (-32 + -8x) = -7(x + -2) Reorder the terms: -32 + -8x = -7(-2 + x) -32 + -8x = (-2 * -7 + x * -7) -32 + -8x = (14 + -7x) Solving -32 + -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. -32 + -8x + 7x = 14 + -7x + 7x Combine like terms: -8x + 7x = -1x -32 + -1x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -32 + -1x = 14 + 0 -32 + -1x = 14 Add '32' to each side of the equation. -32 + 32 + -1x = 14 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 14 + 32 -1x = 14 + 32 Combine like terms: 14 + 32 = 46 -1x = 46 Divide each side by '-1'. x = -46 Simplifying x = -46
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