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Simplifying 8(4x + -1) + 8(-4 + -8x) = 56 Reorder the terms: 8(-1 + 4x) + 8(-4 + -8x) = 56 (-1 * 8 + 4x * 8) + 8(-4 + -8x) = 56 (-8 + 32x) + 8(-4 + -8x) = 56 -8 + 32x + (-4 * 8 + -8x * 8) = 56 -8 + 32x + (-32 + -64x) = 56 Reorder the terms: -8 + -32 + 32x + -64x = 56 Combine like terms: -8 + -32 = -40 -40 + 32x + -64x = 56 Combine like terms: 32x + -64x = -32x -40 + -32x = 56 Solving -40 + -32x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -32x = 56 + 40 Combine like terms: -40 + 40 = 0 0 + -32x = 56 + 40 -32x = 56 + 40 Combine like terms: 56 + 40 = 96 -32x = 96 Divide each side by '-32'. x = -3 Simplifying x = -3
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