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Simplifying 6(2x + -3) + -2(2x + 1) = 0 Reorder the terms: 6(-3 + 2x) + -2(2x + 1) = 0 (-3 * 6 + 2x * 6) + -2(2x + 1) = 0 (-18 + 12x) + -2(2x + 1) = 0 Reorder the terms: -18 + 12x + -2(1 + 2x) = 0 -18 + 12x + (1 * -2 + 2x * -2) = 0 -18 + 12x + (-2 + -4x) = 0 Reorder the terms: -18 + -2 + 12x + -4x = 0 Combine like terms: -18 + -2 = -20 -20 + 12x + -4x = 0 Combine like terms: 12x + -4x = 8x -20 + 8x = 0 Solving -20 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 8x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 0 + 20 8x = 0 + 20 Combine like terms: 0 + 20 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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