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Simplifying -38 = 4(x + 4) + 5x Reorder the terms: -38 = 4(4 + x) + 5x -38 = (4 * 4 + x * 4) + 5x -38 = (16 + 4x) + 5x Combine like terms: 4x + 5x = 9x -38 = 16 + 9x Solving -38 = 16 + 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. -38 + -9x = 16 + 9x + -9x Combine like terms: 9x + -9x = 0 -38 + -9x = 16 + 0 -38 + -9x = 16 Add '38' to each side of the equation. -38 + 38 + -9x = 16 + 38 Combine like terms: -38 + 38 = 0 0 + -9x = 16 + 38 -9x = 16 + 38 Combine like terms: 16 + 38 = 54 -9x = 54 Divide each side by '-9'. x = -6 Simplifying x = -6
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