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Simplifying 5x + -38 = -4x + 7 Reorder the terms: -38 + 5x = -4x + 7 Reorder the terms: -38 + 5x = 7 + -4x Solving -38 + 5x = 7 + -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. -38 + 5x + 4x = 7 + -4x + 4x Combine like terms: 5x + 4x = 9x -38 + 9x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -38 + 9x = 7 + 0 -38 + 9x = 7 Add '38' to each side of the equation. -38 + 38 + 9x = 7 + 38 Combine like terms: -38 + 38 = 0 0 + 9x = 7 + 38 9x = 7 + 38 Combine like terms: 7 + 38 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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