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Simplifying -3x + -38 = 4x + 7 + -2x Reorder the terms: -38 + -3x = 4x + 7 + -2x Reorder the terms: -38 + -3x = 7 + 4x + -2x Combine like terms: 4x + -2x = 2x -38 + -3x = 7 + 2x Solving -38 + -3x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + -3x + -2x = 7 + 2x + -2x Combine like terms: -3x + -2x = -5x -38 + -5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + -5x = 7 + 0 -38 + -5x = 7 Add '38' to each side of the equation. -38 + 38 + -5x = 7 + 38 Combine like terms: -38 + 38 = 0 0 + -5x = 7 + 38 -5x = 7 + 38 Combine like terms: 7 + 38 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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