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Simplifying -38 + -4x = 3x + 20 Reorder the terms: -38 + -4x = 20 + 3x Solving -38 + -4x = 20 + 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 + -4x + -3x = 20 + 3x + -3x Combine like terms: -4x + -3x = -7x -38 + -7x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + -7x = 20 + 0 -38 + -7x = 20 Add '38' to each side of the equation. -38 + 38 + -7x = 20 + 38 Combine like terms: -38 + 38 = 0 0 + -7x = 20 + 38 -7x = 20 + 38 Combine like terms: 20 + 38 = 58 -7x = 58 Divide each side by '-7'. x = -8.285714286 Simplifying x = -8.285714286
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