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Simplifying 2 + 5x = -6(1 + -1x) 2 + 5x = (1 * -6 + -1x * -6) 2 + 5x = (-6 + 6x) Solving 2 + 5x = -6 + 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. 2 + 5x + -6x = -6 + 6x + -6x Combine like terms: 5x + -6x = -1x 2 + -1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -1x = -6 + 0 2 + -1x = -6 Add '-2' to each side of the equation. 2 + -2 + -1x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -6 + -2 -1x = -6 + -2 Combine like terms: -6 + -2 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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