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Simplifying 4(5x + -3) + -1(6x + 2) = 0 Reorder the terms: 4(-3 + 5x) + -1(6x + 2) = 0 (-3 * 4 + 5x * 4) + -1(6x + 2) = 0 (-12 + 20x) + -1(6x + 2) = 0 Reorder the terms: -12 + 20x + -1(2 + 6x) = 0 -12 + 20x + (2 * -1 + 6x * -1) = 0 -12 + 20x + (-2 + -6x) = 0 Reorder the terms: -12 + -2 + 20x + -6x = 0 Combine like terms: -12 + -2 = -14 -14 + 20x + -6x = 0 Combine like terms: 20x + -6x = 14x -14 + 14x = 0 Solving -14 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 14x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 14x = 0 + 14 14x = 0 + 14 Combine like terms: 0 + 14 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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