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Simplifying -4(x + 8) + 5 = -21 + -2x Reorder the terms: -4(8 + x) + 5 = -21 + -2x (8 * -4 + x * -4) + 5 = -21 + -2x (-32 + -4x) + 5 = -21 + -2x Reorder the terms: -32 + 5 + -4x = -21 + -2x Combine like terms: -32 + 5 = -27 -27 + -4x = -21 + -2x Solving -27 + -4x = -21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -27 + -4x + 2x = -21 + -2x + 2x Combine like terms: -4x + 2x = -2x -27 + -2x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + -2x = -21 + 0 -27 + -2x = -21 Add '27' to each side of the equation. -27 + 27 + -2x = -21 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -21 + 27 -2x = -21 + 27 Combine like terms: -21 + 27 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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