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Simplifying 2 + -6x = 5 + -5(x + -1) Reorder the terms: 2 + -6x = 5 + -5(-1 + x) 2 + -6x = 5 + (-1 * -5 + x * -5) 2 + -6x = 5 + (5 + -5x) Combine like terms: 5 + 5 = 10 2 + -6x = 10 + -5x Solving 2 + -6x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + -6x + 5x = 10 + -5x + 5x Combine like terms: -6x + 5x = -1x 2 + -1x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + -1x = 10 + 0 2 + -1x = 10 Add '-2' to each side of the equation. 2 + -2 + -1x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 10 + -2 -1x = 10 + -2 Combine like terms: 10 + -2 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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