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Simplifying 2(3x + -1) + -1(4x + 5) = 9 Reorder the terms: 2(-1 + 3x) + -1(4x + 5) = 9 (-1 * 2 + 3x * 2) + -1(4x + 5) = 9 (-2 + 6x) + -1(4x + 5) = 9 Reorder the terms: -2 + 6x + -1(5 + 4x) = 9 -2 + 6x + (5 * -1 + 4x * -1) = 9 -2 + 6x + (-5 + -4x) = 9 Reorder the terms: -2 + -5 + 6x + -4x = 9 Combine like terms: -2 + -5 = -7 -7 + 6x + -4x = 9 Combine like terms: 6x + -4x = 2x -7 + 2x = 9 Solving -7 + 2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 9 + 7 2x = 9 + 7 Combine like terms: 9 + 7 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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