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Simplifying x + -31 + -4x = 5 + -7x + -38 + 3x Reorder the terms: -31 + x + -4x = 5 + -7x + -38 + 3x Combine like terms: x + -4x = -3x -31 + -3x = 5 + -7x + -38 + 3x Reorder the terms: -31 + -3x = 5 + -38 + -7x + 3x Combine like terms: 5 + -38 = -33 -31 + -3x = -33 + -7x + 3x Combine like terms: -7x + 3x = -4x -31 + -3x = -33 + -4x Solving -31 + -3x = -33 + -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. -31 + -3x + 4x = -33 + -4x + 4x Combine like terms: -3x + 4x = 1x -31 + 1x = -33 + -4x + 4x Combine like terms: -4x + 4x = 0 -31 + 1x = -33 + 0 -31 + 1x = -33 Add '31' to each side of the equation. -31 + 31 + 1x = -33 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = -33 + 31 1x = -33 + 31 Combine like terms: -33 + 31 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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