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Simplifying 2x + 2y + -2 = -2x + 2y + -34 Reorder the terms: -2 + 2x + 2y = -2x + 2y + -34 Reorder the terms: -2 + 2x + 2y = -34 + -2x + 2y Add '-2y' to each side of the equation. -2 + 2x + 2y + -2y = -34 + -2x + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + 2x + 0 = -34 + -2x + 2y + -2y -2 + 2x = -34 + -2x + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + 2x = -34 + -2x + 0 -2 + 2x = -34 + -2x Solving -2 + 2x = -34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 2x + 2x = -34 + -2x + 2x Combine like terms: 2x + 2x = 4x -2 + 4x = -34 + -2x + 2x Combine like terms: -2x + 2x = 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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