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Simplifying 5x + -2 + 7 = 6x + 10 Reorder the terms: -2 + 7 + 5x = 6x + 10 Combine like terms: -2 + 7 = 5 5 + 5x = 6x + 10 Reorder the terms: 5 + 5x = 10 + 6x Solving 5 + 5x = 10 + 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. 5 + 5x + -6x = 10 + 6x + -6x Combine like terms: 5x + -6x = -1x 5 + -1x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -1x = 10 + 0 5 + -1x = 10 Add '-5' to each side of the equation. 5 + -5 + -1x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 10 + -5 -1x = 10 + -5 Combine like terms: 10 + -5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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