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