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Simplifying -2 + 3x = -12 + 7x + -22 Reorder the terms: -2 + 3x = -12 + -22 + 7x Combine like terms: -12 + -22 = -34 -2 + 3x = -34 + 7x Solving -2 + 3x = -34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 3x + -7x = -34 + 7x + -7x Combine like terms: 3x + -7x = -4x -2 + -4x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -4x = -34 + 0 -2 + -4x = -34 Add '2' to each side of the equation. -2 + 2 + -4x = -34 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -34 + 2 -4x = -34 + 2 Combine like terms: -34 + 2 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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