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Simplifying 7(2x + 6) + -4(9x + 6) = -26 Reorder the terms: 7(6 + 2x) + -4(9x + 6) = -26 (6 * 7 + 2x * 7) + -4(9x + 6) = -26 (42 + 14x) + -4(9x + 6) = -26 Reorder the terms: 42 + 14x + -4(6 + 9x) = -26 42 + 14x + (6 * -4 + 9x * -4) = -26 42 + 14x + (-24 + -36x) = -26 Reorder the terms: 42 + -24 + 14x + -36x = -26 Combine like terms: 42 + -24 = 18 18 + 14x + -36x = -26 Combine like terms: 14x + -36x = -22x 18 + -22x = -26 Solving 18 + -22x = -26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -22x = -26 + -18 Combine like terms: 18 + -18 = 0 0 + -22x = -26 + -18 -22x = -26 + -18 Combine like terms: -26 + -18 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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