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Simplifying 7(3x + 2) + 2(5x + -4) = 39 Reorder the terms: 7(2 + 3x) + 2(5x + -4) = 39 (2 * 7 + 3x * 7) + 2(5x + -4) = 39 (14 + 21x) + 2(5x + -4) = 39 Reorder the terms: 14 + 21x + 2(-4 + 5x) = 39 14 + 21x + (-4 * 2 + 5x * 2) = 39 14 + 21x + (-8 + 10x) = 39 Reorder the terms: 14 + -8 + 21x + 10x = 39 Combine like terms: 14 + -8 = 6 6 + 21x + 10x = 39 Combine like terms: 21x + 10x = 31x 6 + 31x = 39 Solving 6 + 31x = 39 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 + 31x = 39 + -6 Combine like terms: 6 + -6 = 0 0 + 31x = 39 + -6 31x = 39 + -6 Combine like terms: 39 + -6 = 33 31x = 33 Divide each side by '31'. x = 1.064516129 Simplifying x = 1.064516129
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