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Simplifying -4x + -38 = 5(x + 5) Reorder the terms: -38 + -4x = 5(x + 5) Reorder the terms: -38 + -4x = 5(5 + x) -38 + -4x = (5 * 5 + x * 5) -38 + -4x = (25 + 5x) Solving -38 + -4x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -38 + -4x + -5x = 25 + 5x + -5x Combine like terms: -4x + -5x = -9x -38 + -9x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -38 + -9x = 25 + 0 -38 + -9x = 25 Add '38' to each side of the equation. -38 + 38 + -9x = 25 + 38 Combine like terms: -38 + 38 = 0 0 + -9x = 25 + 38 -9x = 25 + 38 Combine like terms: 25 + 38 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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