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Simplifying -8x + -1(8 + -8x) = -8(4x + -7) -8x + (8 * -1 + -8x * -1) = -8(4x + -7) -8x + (-8 + 8x) = -8(4x + -7) Reorder the terms: -8 + -8x + 8x = -8(4x + -7) Combine like terms: -8x + 8x = 0 -8 + 0 = -8(4x + -7) -8 = -8(4x + -7) Reorder the terms: -8 = -8(-7 + 4x) -8 = (-7 * -8 + 4x * -8) -8 = (56 + -32x) Solving -8 = 56 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -8 + 32x = 56 + -32x + 32x Combine like terms: -32x + 32x = 0 -8 + 32x = 56 + 0 -8 + 32x = 56 Add '8' to each side of the equation. -8 + 8 + 32x = 56 + 8 Combine like terms: -8 + 8 = 0 0 + 32x = 56 + 8 32x = 56 + 8 Combine like terms: 56 + 8 = 64 32x = 64 Divide each side by '32'. x = 2 Simplifying x = 2
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