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Simplifying 4(4x + 1) + 5(x + -2) = 0 Reorder the terms: 4(1 + 4x) + 5(x + -2) = 0 (1 * 4 + 4x * 4) + 5(x + -2) = 0 (4 + 16x) + 5(x + -2) = 0 Reorder the terms: 4 + 16x + 5(-2 + x) = 0 4 + 16x + (-2 * 5 + x * 5) = 0 4 + 16x + (-10 + 5x) = 0 Reorder the terms: 4 + -10 + 16x + 5x = 0 Combine like terms: 4 + -10 = -6 -6 + 16x + 5x = 0 Combine like terms: 16x + 5x = 21x -6 + 21x = 0 Solving -6 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 21x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 21x = 0 + 6 21x = 0 + 6 Combine like terms: 0 + 6 = 6 21x = 6 Divide each side by '21'. x = 0.2857142857 Simplifying x = 0.2857142857
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