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Simplifying 4(x + 4) = 1 + 9x Reorder the terms: 4(4 + x) = 1 + 9x (4 * 4 + x * 4) = 1 + 9x (16 + 4x) = 1 + 9x Solving 16 + 4x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 16 + 4x + -9x = 1 + 9x + -9x Combine like terms: 4x + -9x = -5x 16 + -5x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + -5x = 1 + 0 16 + -5x = 1 Add '-16' to each side of the equation. 16 + -16 + -5x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = 1 + -16 -5x = 1 + -16 Combine like terms: 1 + -16 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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