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Simplifying 13(3x + -2) = 7(6x + -5) Reorder the terms: 13(-2 + 3x) = 7(6x + -5) (-2 * 13 + 3x * 13) = 7(6x + -5) (-26 + 39x) = 7(6x + -5) Reorder the terms: -26 + 39x = 7(-5 + 6x) -26 + 39x = (-5 * 7 + 6x * 7) -26 + 39x = (-35 + 42x) Solving -26 + 39x = -35 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -26 + 39x + -42x = -35 + 42x + -42x Combine like terms: 39x + -42x = -3x -26 + -3x = -35 + 42x + -42x Combine like terms: 42x + -42x = 0 -26 + -3x = -35 + 0 -26 + -3x = -35 Add '26' to each side of the equation. -26 + 26 + -3x = -35 + 26 Combine like terms: -26 + 26 = 0 0 + -3x = -35 + 26 -3x = -35 + 26 Combine like terms: -35 + 26 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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