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Simplifying -8(7x + -3) = -8(8x + 4) Reorder the terms: -8(-3 + 7x) = -8(8x + 4) (-3 * -8 + 7x * -8) = -8(8x + 4) (24 + -56x) = -8(8x + 4) Reorder the terms: 24 + -56x = -8(4 + 8x) 24 + -56x = (4 * -8 + 8x * -8) 24 + -56x = (-32 + -64x) Solving 24 + -56x = -32 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. 24 + -56x + 64x = -32 + -64x + 64x Combine like terms: -56x + 64x = 8x 24 + 8x = -32 + -64x + 64x Combine like terms: -64x + 64x = 0 24 + 8x = -32 + 0 24 + 8x = -32 Add '-24' to each side of the equation. 24 + -24 + 8x = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = -32 + -24 8x = -32 + -24 Combine like terms: -32 + -24 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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