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Simplifying 9x + -1(2x + 2) = 4x + -38 Reorder the terms: 9x + -1(2 + 2x) = 4x + -38 9x + (2 * -1 + 2x * -1) = 4x + -38 9x + (-2 + -2x) = 4x + -38 Reorder the terms: -2 + 9x + -2x = 4x + -38 Combine like terms: 9x + -2x = 7x -2 + 7x = 4x + -38 Reorder the terms: -2 + 7x = -38 + 4x Solving -2 + 7x = -38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 7x + -4x = -38 + 4x + -4x Combine like terms: 7x + -4x = 3x -2 + 3x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 3x = -38 + 0 -2 + 3x = -38 Add '2' to each side of the equation. -2 + 2 + 3x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -38 + 2 3x = -38 + 2 Combine like terms: -38 + 2 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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