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Simplifying 4(2x + 1) + -2(x + 4) = 0 Reorder the terms: 4(1 + 2x) + -2(x + 4) = 0 (1 * 4 + 2x * 4) + -2(x + 4) = 0 (4 + 8x) + -2(x + 4) = 0 Reorder the terms: 4 + 8x + -2(4 + x) = 0 4 + 8x + (4 * -2 + x * -2) = 0 4 + 8x + (-8 + -2x) = 0 Reorder the terms: 4 + -8 + 8x + -2x = 0 Combine like terms: 4 + -8 = -4 -4 + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x -4 + 6x = 0 Solving -4 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 0 + 4 6x = 0 + 4 Combine like terms: 0 + 4 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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