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Simplifying 9x + -1(5x + 6) = 2x + -38 Reorder the terms: 9x + -1(6 + 5x) = 2x + -38 9x + (6 * -1 + 5x * -1) = 2x + -38 9x + (-6 + -5x) = 2x + -38 Reorder the terms: -6 + 9x + -5x = 2x + -38 Combine like terms: 9x + -5x = 4x -6 + 4x = 2x + -38 Reorder the terms: -6 + 4x = -38 + 2x Solving -6 + 4x = -38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 4x + -2x = -38 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = -38 + 0 -6 + 2x = -38 Add '6' to each side of the equation. -6 + 6 + 2x = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -38 + 6 2x = -38 + 6 Combine like terms: -38 + 6 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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