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Simplifying 4(2x + 1) + -2(x + 3) = 0 Reorder the terms: 4(1 + 2x) + -2(x + 3) = 0 (1 * 4 + 2x * 4) + -2(x + 3) = 0 (4 + 8x) + -2(x + 3) = 0 Reorder the terms: 4 + 8x + -2(3 + x) = 0 4 + 8x + (3 * -2 + x * -2) = 0 4 + 8x + (-6 + -2x) = 0 Reorder the terms: 4 + -6 + 8x + -2x = 0 Combine like terms: 4 + -6 = -2 -2 + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x -2 + 6x = 0 Solving -2 + 6x = 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 + 6x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 0 + 2 6x = 0 + 2 Combine like terms: 0 + 2 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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