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Simplifying 2(x + 3) * 17 = 13(x + -2) Reorder the terms: 2(3 + x) * 17 = 13(x + -2) Reorder the terms for easier multiplication: 2 * 17(3 + x) = 13(x + -2) Multiply 2 * 17 34(3 + x) = 13(x + -2) (3 * 34 + x * 34) = 13(x + -2) (102 + 34x) = 13(x + -2) Reorder the terms: 102 + 34x = 13(-2 + x) 102 + 34x = (-2 * 13 + x * 13) 102 + 34x = (-26 + 13x) Solving 102 + 34x = -26 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 102 + 34x + -13x = -26 + 13x + -13x Combine like terms: 34x + -13x = 21x 102 + 21x = -26 + 13x + -13x Combine like terms: 13x + -13x = 0 102 + 21x = -26 + 0 102 + 21x = -26 Add '-102' to each side of the equation. 102 + -102 + 21x = -26 + -102 Combine like terms: 102 + -102 = 0 0 + 21x = -26 + -102 21x = -26 + -102 Combine like terms: -26 + -102 = -128 21x = -128 Divide each side by '21'. x = -6.095238095 Simplifying x = -6.095238095
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