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Simplifying 2(3x + 5) + (7x + -4) = 102 Reorder the terms: 2(5 + 3x) + (7x + -4) = 102 (5 * 2 + 3x * 2) + (7x + -4) = 102 (10 + 6x) + (7x + -4) = 102 Reorder the terms: 10 + 6x + (-4 + 7x) = 102 Remove parenthesis around (-4 + 7x) 10 + 6x + -4 + 7x = 102 Reorder the terms: 10 + -4 + 6x + 7x = 102 Combine like terms: 10 + -4 = 6 6 + 6x + 7x = 102 Combine like terms: 6x + 7x = 13x 6 + 13x = 102 Solving 6 + 13x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 13x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 102 + -6 13x = 102 + -6 Combine like terms: 102 + -6 = 96 13x = 96 Divide each side by '13'. x = 7.384615385 Simplifying x = 7.384615385
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