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Simplifying 4(4x + 1) = 4x + -9x Reorder the terms: 4(1 + 4x) = 4x + -9x (1 * 4 + 4x * 4) = 4x + -9x (4 + 16x) = 4x + -9x Combine like terms: 4x + -9x = -5x 4 + 16x = -5x Solving 4 + 16x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 16x + 5x = -5x + 5x Combine like terms: 16x + 5x = 21x 4 + 21x = -5x + 5x Combine like terms: -5x + 5x = 0 4 + 21x = 0 Add '-4' to each side of the equation. 4 + -4 + 21x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 21x = 0 + -4 21x = 0 + -4 Combine like terms: 0 + -4 = -4 21x = -4 Divide each side by '21'. x = -0.1904761905 Simplifying x = -0.1904761905
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