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Simplifying 13(6 + -1x) = 2(3x + -9) (6 * 13 + -1x * 13) = 2(3x + -9) (78 + -13x) = 2(3x + -9) Reorder the terms: 78 + -13x = 2(-9 + 3x) 78 + -13x = (-9 * 2 + 3x * 2) 78 + -13x = (-18 + 6x) Solving 78 + -13x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 78 + -13x + -6x = -18 + 6x + -6x Combine like terms: -13x + -6x = -19x 78 + -19x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 78 + -19x = -18 + 0 78 + -19x = -18 Add '-78' to each side of the equation. 78 + -78 + -19x = -18 + -78 Combine like terms: 78 + -78 = 0 0 + -19x = -18 + -78 -19x = -18 + -78 Combine like terms: -18 + -78 = -96 -19x = -96 Divide each side by '-19'. x = 5.052631579 Simplifying x = 5.052631579
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