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Simplifying -4(x + -7) = -8(2 + x) Reorder the terms: -4(-7 + x) = -8(2 + x) (-7 * -4 + x * -4) = -8(2 + x) (28 + -4x) = -8(2 + x) 28 + -4x = (2 * -8 + x * -8) 28 + -4x = (-16 + -8x) Solving 28 + -4x = -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. 28 + -4x + 8x = -16 + -8x + 8x Combine like terms: -4x + 8x = 4x 28 + 4x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 28 + 4x = -16 + 0 28 + 4x = -16 Add '-28' to each side of the equation. 28 + -28 + 4x = -16 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = -16 + -28 4x = -16 + -28 Combine like terms: -16 + -28 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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