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Simplifying 4(3x + 1) + 4(x + -3) = 0 Reorder the terms: 4(1 + 3x) + 4(x + -3) = 0 (1 * 4 + 3x * 4) + 4(x + -3) = 0 (4 + 12x) + 4(x + -3) = 0 Reorder the terms: 4 + 12x + 4(-3 + x) = 0 4 + 12x + (-3 * 4 + x * 4) = 0 4 + 12x + (-12 + 4x) = 0 Reorder the terms: 4 + -12 + 12x + 4x = 0 Combine like terms: 4 + -12 = -8 -8 + 12x + 4x = 0 Combine like terms: 12x + 4x = 16x -8 + 16x = 0 Solving -8 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 16x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 0 + 8 16x = 0 + 8 Combine like terms: 0 + 8 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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