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Simplifying 11 + -1(x + -7) = 5x + -2 Reorder the terms: 11 + -1(-7 + x) = 5x + -2 11 + (-7 * -1 + x * -1) = 5x + -2 11 + (7 + -1x) = 5x + -2 Combine like terms: 11 + 7 = 18 18 + -1x = 5x + -2 Reorder the terms: 18 + -1x = -2 + 5x Solving 18 + -1x = -2 + 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. 18 + -1x + -5x = -2 + 5x + -5x Combine like terms: -1x + -5x = -6x 18 + -6x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -6x = -2 + 0 18 + -6x = -2 Add '-18' to each side of the equation. 18 + -18 + -6x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -2 + -18 -6x = -2 + -18 Combine like terms: -2 + -18 = -20 -6x = -20 Divide each side by '-6'. x = 3.333333333 Simplifying x = 3.333333333
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