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Simplifying 7(7x + -2) + -6(8x + -3) = 6 Reorder the terms: 7(-2 + 7x) + -6(8x + -3) = 6 (-2 * 7 + 7x * 7) + -6(8x + -3) = 6 (-14 + 49x) + -6(8x + -3) = 6 Reorder the terms: -14 + 49x + -6(-3 + 8x) = 6 -14 + 49x + (-3 * -6 + 8x * -6) = 6 -14 + 49x + (18 + -48x) = 6 Reorder the terms: -14 + 18 + 49x + -48x = 6 Combine like terms: -14 + 18 = 4 4 + 49x + -48x = 6 Combine like terms: 49x + -48x = 1x 4 + 1x = 6 Solving 4 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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