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Simplifying -8(4 + 7x) = 8(2 + -1x) (4 * -8 + 7x * -8) = 8(2 + -1x) (-32 + -56x) = 8(2 + -1x) -32 + -56x = (2 * 8 + -1x * 8) -32 + -56x = (16 + -8x) Solving -32 + -56x = 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. -32 + -56x + 8x = 16 + -8x + 8x Combine like terms: -56x + 8x = -48x -32 + -48x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 -32 + -48x = 16 + 0 -32 + -48x = 16 Add '32' to each side of the equation. -32 + 32 + -48x = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -48x = 16 + 32 -48x = 16 + 32 Combine like terms: 16 + 32 = 48 -48x = 48 Divide each side by '-48'. x = -1 Simplifying x = -1
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