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Simplifying 5(x + 4) + 52 = -4x Reorder the terms: 5(4 + x) + 52 = -4x (4 * 5 + x * 5) + 52 = -4x (20 + 5x) + 52 = -4x Reorder the terms: 20 + 52 + 5x = -4x Combine like terms: 20 + 52 = 72 72 + 5x = -4x Solving 72 + 5x = -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. 72 + 5x + 4x = -4x + 4x Combine like terms: 5x + 4x = 9x 72 + 9x = -4x + 4x Combine like terms: -4x + 4x = 0 72 + 9x = 0 Add '-72' to each side of the equation. 72 + -72 + 9x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 9x = 0 + -72 9x = 0 + -72 Combine like terms: 0 + -72 = -72 9x = -72 Divide each side by '9'. x = -8 Simplifying x = -8
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