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Simplifying 9x + -1(4x + 4) = 7x + -38 Reorder the terms: 9x + -1(4 + 4x) = 7x + -38 9x + (4 * -1 + 4x * -1) = 7x + -38 9x + (-4 + -4x) = 7x + -38 Reorder the terms: -4 + 9x + -4x = 7x + -38 Combine like terms: 9x + -4x = 5x -4 + 5x = 7x + -38 Reorder the terms: -4 + 5x = -38 + 7x Solving -4 + 5x = -38 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 5x + -7x = -38 + 7x + -7x Combine like terms: 5x + -7x = -2x -4 + -2x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -2x = -38 + 0 -4 + -2x = -38 Add '4' to each side of the equation. -4 + 4 + -2x = -38 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -38 + 4 -2x = -38 + 4 Combine like terms: -38 + 4 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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