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Simplifying 13x + -5(7 + -1x) + 2(3 + -4x) = -109 13x + (7 * -5 + -1x * -5) + 2(3 + -4x) = -109 13x + (-35 + 5x) + 2(3 + -4x) = -109 13x + -35 + 5x + (3 * 2 + -4x * 2) = -109 13x + -35 + 5x + (6 + -8x) = -109 Reorder the terms: -35 + 6 + 13x + 5x + -8x = -109 Combine like terms: -35 + 6 = -29 -29 + 13x + 5x + -8x = -109 Combine like terms: 13x + 5x = 18x -29 + 18x + -8x = -109 Combine like terms: 18x + -8x = 10x -29 + 10x = -109 Solving -29 + 10x = -109 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 10x = -109 + 29 Combine like terms: -29 + 29 = 0 0 + 10x = -109 + 29 10x = -109 + 29 Combine like terms: -109 + 29 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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