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Simplifying 2(4x + 1) + 4(x + -3) = 0 Reorder the terms: 2(1 + 4x) + 4(x + -3) = 0 (1 * 2 + 4x * 2) + 4(x + -3) = 0 (2 + 8x) + 4(x + -3) = 0 Reorder the terms: 2 + 8x + 4(-3 + x) = 0 2 + 8x + (-3 * 4 + x * 4) = 0 2 + 8x + (-12 + 4x) = 0 Reorder the terms: 2 + -12 + 8x + 4x = 0 Combine like terms: 2 + -12 = -10 -10 + 8x + 4x = 0 Combine like terms: 8x + 4x = 12x -10 + 12x = 0 Solving -10 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 12x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 0 + 10 12x = 0 + 10 Combine like terms: 0 + 10 = 10 12x = 10 Divide each side by '12'. x = 0.8333333333 Simplifying x = 0.8333333333
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