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Simplifying 5x + -38 + 6x = -3x + 4 Reorder the terms: -38 + 5x + 6x = -3x + 4 Combine like terms: 5x + 6x = 11x -38 + 11x = -3x + 4 Reorder the terms: -38 + 11x = 4 + -3x Solving -38 + 11x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -38 + 11x + 3x = 4 + -3x + 3x Combine like terms: 11x + 3x = 14x -38 + 14x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -38 + 14x = 4 + 0 -38 + 14x = 4 Add '38' to each side of the equation. -38 + 38 + 14x = 4 + 38 Combine like terms: -38 + 38 = 0 0 + 14x = 4 + 38 14x = 4 + 38 Combine like terms: 4 + 38 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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