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Simplifying 3(x + 7) + -1(x + 15) = 84 Reorder the terms: 3(7 + x) + -1(x + 15) = 84 (7 * 3 + x * 3) + -1(x + 15) = 84 (21 + 3x) + -1(x + 15) = 84 Reorder the terms: 21 + 3x + -1(15 + x) = 84 21 + 3x + (15 * -1 + x * -1) = 84 21 + 3x + (-15 + -1x) = 84 Reorder the terms: 21 + -15 + 3x + -1x = 84 Combine like terms: 21 + -15 = 6 6 + 3x + -1x = 84 Combine like terms: 3x + -1x = 2x 6 + 2x = 84 Solving 6 + 2x = 84 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 + 2x = 84 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 84 + -6 2x = 84 + -6 Combine like terms: 84 + -6 = 78 2x = 78 Divide each side by '2'. x = 39 Simplifying x = 39
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