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Simplifying -55 + 5x = 78 + -2x Solving -55 + 5x = 78 + -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. -55 + 5x + 2x = 78 + -2x + 2x Combine like terms: 5x + 2x = 7x -55 + 7x = 78 + -2x + 2x Combine like terms: -2x + 2x = 0 -55 + 7x = 78 + 0 -55 + 7x = 78 Add '55' to each side of the equation. -55 + 55 + 7x = 78 + 55 Combine like terms: -55 + 55 = 0 0 + 7x = 78 + 55 7x = 78 + 55 Combine like terms: 78 + 55 = 133 7x = 133 Divide each side by '7'. x = 19 Simplifying x = 19
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