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Simplifying 2(9x + -1) + 7(x + 6) = -260 Reorder the terms: 2(-1 + 9x) + 7(x + 6) = -260 (-1 * 2 + 9x * 2) + 7(x + 6) = -260 (-2 + 18x) + 7(x + 6) = -260 Reorder the terms: -2 + 18x + 7(6 + x) = -260 -2 + 18x + (6 * 7 + x * 7) = -260 -2 + 18x + (42 + 7x) = -260 Reorder the terms: -2 + 42 + 18x + 7x = -260 Combine like terms: -2 + 42 = 40 40 + 18x + 7x = -260 Combine like terms: 18x + 7x = 25x 40 + 25x = -260 Solving 40 + 25x = -260 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 25x = -260 + -40 Combine like terms: 40 + -40 = 0 0 + 25x = -260 + -40 25x = -260 + -40 Combine like terms: -260 + -40 = -300 25x = -300 Divide each side by '25'. x = -12 Simplifying x = -12
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