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Simplifying 13(x + -3) = 11x + -45 Reorder the terms: 13(-3 + x) = 11x + -45 (-3 * 13 + x * 13) = 11x + -45 (-39 + 13x) = 11x + -45 Reorder the terms: -39 + 13x = -45 + 11x Solving -39 + 13x = -45 + 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. -39 + 13x + -11x = -45 + 11x + -11x Combine like terms: 13x + -11x = 2x -39 + 2x = -45 + 11x + -11x Combine like terms: 11x + -11x = 0 -39 + 2x = -45 + 0 -39 + 2x = -45 Add '39' to each side of the equation. -39 + 39 + 2x = -45 + 39 Combine like terms: -39 + 39 = 0 0 + 2x = -45 + 39 2x = -45 + 39 Combine like terms: -45 + 39 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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