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Simplifying 13(x + -45) + -12(x + -45) = 110 Reorder the terms: 13(-45 + x) + -12(x + -45) = 110 (-45 * 13 + x * 13) + -12(x + -45) = 110 (-585 + 13x) + -12(x + -45) = 110 Reorder the terms: -585 + 13x + -12(-45 + x) = 110 -585 + 13x + (-45 * -12 + x * -12) = 110 -585 + 13x + (540 + -12x) = 110 Reorder the terms: -585 + 540 + 13x + -12x = 110 Combine like terms: -585 + 540 = -45 -45 + 13x + -12x = 110 Combine like terms: 13x + -12x = 1x -45 + 1x = 110 Solving -45 + 1x = 110 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 1x = 110 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = 110 + 45 1x = 110 + 45 Combine like terms: 110 + 45 = 155 1x = 155 Divide each side by '1'. x = 155 Simplifying x = 155
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