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Simplifying -38 + -7x = 46 + -3x Solving -38 + -7x = 46 + -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 + -7x + 3x = 46 + -3x + 3x Combine like terms: -7x + 3x = -4x -38 + -4x = 46 + -3x + 3x Combine like terms: -3x + 3x = 0 -38 + -4x = 46 + 0 -38 + -4x = 46 Add '38' to each side of the equation. -38 + 38 + -4x = 46 + 38 Combine like terms: -38 + 38 = 0 0 + -4x = 46 + 38 -4x = 46 + 38 Combine like terms: 46 + 38 = 84 -4x = 84 Divide each side by '-4'. x = -21 Simplifying x = -21
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