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Simplifying 3(4x + -5) + -1(6x + 3) = 0 Reorder the terms: 3(-5 + 4x) + -1(6x + 3) = 0 (-5 * 3 + 4x * 3) + -1(6x + 3) = 0 (-15 + 12x) + -1(6x + 3) = 0 Reorder the terms: -15 + 12x + -1(3 + 6x) = 0 -15 + 12x + (3 * -1 + 6x * -1) = 0 -15 + 12x + (-3 + -6x) = 0 Reorder the terms: -15 + -3 + 12x + -6x = 0 Combine like terms: -15 + -3 = -18 -18 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x -18 + 6x = 0 Solving -18 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 0 + 18 6x = 0 + 18 Combine like terms: 0 + 18 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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