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Simplifying 78 + -5x = 89 + -6x Solving 78 + -5x = 89 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 78 + -5x + 6x = 89 + -6x + 6x Combine like terms: -5x + 6x = 1x 78 + 1x = 89 + -6x + 6x Combine like terms: -6x + 6x = 0 78 + 1x = 89 + 0 78 + 1x = 89 Add '-78' to each side of the equation. 78 + -78 + 1x = 89 + -78 Combine like terms: 78 + -78 = 0 0 + 1x = 89 + -78 1x = 89 + -78 Combine like terms: 89 + -78 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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