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Simplifying 7(7x + -2) = 6(8x + 9) + -57 Reorder the terms: 7(-2 + 7x) = 6(8x + 9) + -57 (-2 * 7 + 7x * 7) = 6(8x + 9) + -57 (-14 + 49x) = 6(8x + 9) + -57 Reorder the terms: -14 + 49x = 6(9 + 8x) + -57 -14 + 49x = (9 * 6 + 8x * 6) + -57 -14 + 49x = (54 + 48x) + -57 Reorder the terms: -14 + 49x = 54 + -57 + 48x Combine like terms: 54 + -57 = -3 -14 + 49x = -3 + 48x Solving -14 + 49x = -3 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -14 + 49x + -48x = -3 + 48x + -48x Combine like terms: 49x + -48x = 1x -14 + 1x = -3 + 48x + -48x Combine like terms: 48x + -48x = 0 -14 + 1x = -3 + 0 -14 + 1x = -3 Add '14' to each side of the equation. -14 + 14 + 1x = -3 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -3 + 14 1x = -3 + 14 Combine like terms: -3 + 14 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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