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Simplifying 2(9x + -1) = -60 + -7(x + 6) Reorder the terms: 2(-1 + 9x) = -60 + -7(x + 6) (-1 * 2 + 9x * 2) = -60 + -7(x + 6) (-2 + 18x) = -60 + -7(x + 6) Reorder the terms: -2 + 18x = -60 + -7(6 + x) -2 + 18x = -60 + (6 * -7 + x * -7) -2 + 18x = -60 + (-42 + -7x) Combine like terms: -60 + -42 = -102 -2 + 18x = -102 + -7x Solving -2 + 18x = -102 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + 18x + 7x = -102 + -7x + 7x Combine like terms: 18x + 7x = 25x -2 + 25x = -102 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 25x = -102 + 0 -2 + 25x = -102 Add '2' to each side of the equation. -2 + 2 + 25x = -102 + 2 Combine like terms: -2 + 2 = 0 0 + 25x = -102 + 2 25x = -102 + 2 Combine like terms: -102 + 2 = -100 25x = -100 Divide each side by '25'. x = -4 Simplifying x = -4
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