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Simplifying -3x + -34 = -7x + 78 Reorder the terms: -34 + -3x = -7x + 78 Reorder the terms: -34 + -3x = 78 + -7x Solving -34 + -3x = 78 + -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. -34 + -3x + 7x = 78 + -7x + 7x Combine like terms: -3x + 7x = 4x -34 + 4x = 78 + -7x + 7x Combine like terms: -7x + 7x = 0 -34 + 4x = 78 + 0 -34 + 4x = 78 Add '34' to each side of the equation. -34 + 34 + 4x = 78 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = 78 + 34 4x = 78 + 34 Combine like terms: 78 + 34 = 112 4x = 112 Divide each side by '4'. x = 28 Simplifying x = 28
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