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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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