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Simplifying 2(2x + 1) + -1(x + 4) = 0 Reorder the terms: 2(1 + 2x) + -1(x + 4) = 0 (1 * 2 + 2x * 2) + -1(x + 4) = 0 (2 + 4x) + -1(x + 4) = 0 Reorder the terms: 2 + 4x + -1(4 + x) = 0 2 + 4x + (4 * -1 + x * -1) = 0 2 + 4x + (-4 + -1x) = 0 Reorder the terms: 2 + -4 + 4x + -1x = 0 Combine like terms: 2 + -4 = -2 -2 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x -2 + 3x = 0 Solving -2 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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