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Simplifying 5x + 4 = -4(x + 8) Reorder the terms: 4 + 5x = -4(x + 8) Reorder the terms: 4 + 5x = -4(8 + x) 4 + 5x = (8 * -4 + x * -4) 4 + 5x = (-32 + -4x) Solving 4 + 5x = -32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 5x + 4x = -32 + -4x + 4x Combine like terms: 5x + 4x = 9x 4 + 9x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 9x = -32 + 0 4 + 9x = -32 Add '-4' to each side of the equation. 4 + -4 + 9x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -32 + -4 9x = -32 + -4 Combine like terms: -32 + -4 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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