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Simplifying 2(3x + -7) + -4(9x + 5) = 36 Reorder the terms: 2(-7 + 3x) + -4(9x + 5) = 36 (-7 * 2 + 3x * 2) + -4(9x + 5) = 36 (-14 + 6x) + -4(9x + 5) = 36 Reorder the terms: -14 + 6x + -4(5 + 9x) = 36 -14 + 6x + (5 * -4 + 9x * -4) = 36 -14 + 6x + (-20 + -36x) = 36 Reorder the terms: -14 + -20 + 6x + -36x = 36 Combine like terms: -14 + -20 = -34 -34 + 6x + -36x = 36 Combine like terms: 6x + -36x = -30x -34 + -30x = 36 Solving -34 + -30x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -30x = 36 + 34 Combine like terms: -34 + 34 = 0 0 + -30x = 36 + 34 -30x = 36 + 34 Combine like terms: 36 + 34 = 70 -30x = 70 Divide each side by '-30'. x = -2.333333333 Simplifying x = -2.333333333
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