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Simplifying 4(4x + 1) + 6(x + -4) = 0 Reorder the terms: 4(1 + 4x) + 6(x + -4) = 0 (1 * 4 + 4x * 4) + 6(x + -4) = 0 (4 + 16x) + 6(x + -4) = 0 Reorder the terms: 4 + 16x + 6(-4 + x) = 0 4 + 16x + (-4 * 6 + x * 6) = 0 4 + 16x + (-24 + 6x) = 0 Reorder the terms: 4 + -24 + 16x + 6x = 0 Combine like terms: 4 + -24 = -20 -20 + 16x + 6x = 0 Combine like terms: 16x + 6x = 22x -20 + 22x = 0 Solving -20 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 22x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 22x = 0 + 20 22x = 0 + 20 Combine like terms: 0 + 20 = 20 22x = 20 Divide each side by '22'. x = 0.9090909091 Simplifying x = 0.9090909091
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