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Simplifying x + 45(x + -13) = x + -45 Reorder the terms: x + 45(-13 + x) = x + -45 x + (-13 * 45 + x * 45) = x + -45 x + (-585 + 45x) = x + -45 Reorder the terms: -585 + x + 45x = x + -45 Combine like terms: x + 45x = 46x -585 + 46x = x + -45 Reorder the terms: -585 + 46x = -45 + x Solving -585 + 46x = -45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -585 + 46x + -1x = -45 + x + -1x Combine like terms: 46x + -1x = 45x -585 + 45x = -45 + x + -1x Combine like terms: x + -1x = 0 -585 + 45x = -45 + 0 -585 + 45x = -45 Add '585' to each side of the equation. -585 + 585 + 45x = -45 + 585 Combine like terms: -585 + 585 = 0 0 + 45x = -45 + 585 45x = -45 + 585 Combine like terms: -45 + 585 = 540 45x = 540 Divide each side by '45'. x = 12 Simplifying x = 12
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