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Simplifying 2(3x + -7) = 36 + -1(9x + 5) Reorder the terms: 2(-7 + 3x) = 36 + -1(9x + 5) (-7 * 2 + 3x * 2) = 36 + -1(9x + 5) (-14 + 6x) = 36 + -1(9x + 5) Reorder the terms: -14 + 6x = 36 + -1(5 + 9x) -14 + 6x = 36 + (5 * -1 + 9x * -1) -14 + 6x = 36 + (-5 + -9x) Combine like terms: 36 + -5 = 31 -14 + 6x = 31 + -9x Solving -14 + 6x = 31 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -14 + 6x + 9x = 31 + -9x + 9x Combine like terms: 6x + 9x = 15x -14 + 15x = 31 + -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 15x = 31 + 0 -14 + 15x = 31 Add '14' to each side of the equation. -14 + 14 + 15x = 31 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 31 + 14 15x = 31 + 14 Combine like terms: 31 + 14 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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