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Simplifying x + -38 + -4x = 5 + -7x + -12 + 3x Reorder the terms: -38 + x + -4x = 5 + -7x + -12 + 3x Combine like terms: x + -4x = -3x -38 + -3x = 5 + -7x + -12 + 3x Reorder the terms: -38 + -3x = 5 + -12 + -7x + 3x Combine like terms: 5 + -12 = -7 -38 + -3x = -7 + -7x + 3x Combine like terms: -7x + 3x = -4x -38 + -3x = -7 + -4x Solving -38 + -3x = -7 + -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. -38 + -3x + 4x = -7 + -4x + 4x Combine like terms: -3x + 4x = 1x -38 + 1x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 -38 + 1x = -7 + 0 -38 + 1x = -7 Add '38' to each side of the equation. -38 + 38 + 1x = -7 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = -7 + 38 1x = -7 + 38 Combine like terms: -7 + 38 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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