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Simplifying 7(9x + -1) = 2(9x + 1) + 846 Reorder the terms: 7(-1 + 9x) = 2(9x + 1) + 846 (-1 * 7 + 9x * 7) = 2(9x + 1) + 846 (-7 + 63x) = 2(9x + 1) + 846 Reorder the terms: -7 + 63x = 2(1 + 9x) + 846 -7 + 63x = (1 * 2 + 9x * 2) + 846 -7 + 63x = (2 + 18x) + 846 Reorder the terms: -7 + 63x = 2 + 846 + 18x Combine like terms: 2 + 846 = 848 -7 + 63x = 848 + 18x Solving -7 + 63x = 848 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -7 + 63x + -18x = 848 + 18x + -18x Combine like terms: 63x + -18x = 45x -7 + 45x = 848 + 18x + -18x Combine like terms: 18x + -18x = 0 -7 + 45x = 848 + 0 -7 + 45x = 848 Add '7' to each side of the equation. -7 + 7 + 45x = 848 + 7 Combine like terms: -7 + 7 = 0 0 + 45x = 848 + 7 45x = 848 + 7 Combine like terms: 848 + 7 = 855 45x = 855 Divide each side by '45'. x = 19 Simplifying x = 19
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