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Simplifying 6(6x + -1) + -7(5x + 2) = 3 Reorder the terms: 6(-1 + 6x) + -7(5x + 2) = 3 (-1 * 6 + 6x * 6) + -7(5x + 2) = 3 (-6 + 36x) + -7(5x + 2) = 3 Reorder the terms: -6 + 36x + -7(2 + 5x) = 3 -6 + 36x + (2 * -7 + 5x * -7) = 3 -6 + 36x + (-14 + -35x) = 3 Reorder the terms: -6 + -14 + 36x + -35x = 3 Combine like terms: -6 + -14 = -20 -20 + 36x + -35x = 3 Combine like terms: 36x + -35x = 1x -20 + 1x = 3 Solving -20 + 1x = 3 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 + 1x = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 3 + 20 1x = 3 + 20 Combine like terms: 3 + 20 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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