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Simplifying 4(4x + 1) = 5x + -6 Reorder the terms: 4(1 + 4x) = 5x + -6 (1 * 4 + 4x * 4) = 5x + -6 (4 + 16x) = 5x + -6 Reorder the terms: 4 + 16x = -6 + 5x Solving 4 + 16x = -6 + 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 = -6 + 5x + -5x Combine like terms: 16x + -5x = 11x 4 + 11x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 11x = -6 + 0 4 + 11x = -6 Add '-4' to each side of the equation. 4 + -4 + 11x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = -6 + -4 11x = -6 + -4 Combine like terms: -6 + -4 = -10 11x = -10 Divide each side by '11'. x = -0.9090909091 Simplifying x = -0.9090909091
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