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Simplifying -7(x + -2) = 11x + -40 Reorder the terms: -7(-2 + x) = 11x + -40 (-2 * -7 + x * -7) = 11x + -40 (14 + -7x) = 11x + -40 Reorder the terms: 14 + -7x = -40 + 11x Solving 14 + -7x = -40 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 14 + -7x + -11x = -40 + 11x + -11x Combine like terms: -7x + -11x = -18x 14 + -18x = -40 + 11x + -11x Combine like terms: 11x + -11x = 0 14 + -18x = -40 + 0 14 + -18x = -40 Add '-14' to each side of the equation. 14 + -14 + -18x = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -18x = -40 + -14 -18x = -40 + -14 Combine like terms: -40 + -14 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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