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Simplifying -4(x + 4) = x + 9 Reorder the terms: -4(4 + x) = x + 9 (4 * -4 + x * -4) = x + 9 (-16 + -4x) = x + 9 Reorder the terms: -16 + -4x = 9 + x Solving -16 + -4x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + -4x + -1x = 9 + x + -1x Combine like terms: -4x + -1x = -5x -16 + -5x = 9 + x + -1x Combine like terms: x + -1x = 0 -16 + -5x = 9 + 0 -16 + -5x = 9 Add '16' to each side of the equation. -16 + 16 + -5x = 9 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 9 + 16 -5x = 9 + 16 Combine like terms: 9 + 16 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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