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Simplifying -2 + 3x = -12 + 4x + -22 Reorder the terms: -2 + 3x = -12 + -22 + 4x Combine like terms: -12 + -22 = -34 -2 + 3x = -34 + 4x Solving -2 + 3x = -34 + 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. -2 + 3x + -4x = -34 + 4x + -4x Combine like terms: 3x + -4x = -1x -2 + -1x = -34 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -1x = -34 + 0 -2 + -1x = -34 Add '2' to each side of the equation. -2 + 2 + -1x = -34 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -34 + 2 -1x = -34 + 2 Combine like terms: -34 + 2 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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