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Simplifying 6(6x + -1) + -5(7x + 3) = 3 Reorder the terms: 6(-1 + 6x) + -5(7x + 3) = 3 (-1 * 6 + 6x * 6) + -5(7x + 3) = 3 (-6 + 36x) + -5(7x + 3) = 3 Reorder the terms: -6 + 36x + -5(3 + 7x) = 3 -6 + 36x + (3 * -5 + 7x * -5) = 3 -6 + 36x + (-15 + -35x) = 3 Reorder the terms: -6 + -15 + 36x + -35x = 3 Combine like terms: -6 + -15 = -21 -21 + 36x + -35x = 3 Combine like terms: 36x + -35x = 1x -21 + 1x = 3 Solving -21 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 3 + 21 1x = 3 + 21 Combine like terms: 3 + 21 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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