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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 = 36 36 + 3x + -1x = 84 Combine like terms: 3x + -1x = 2x 36 + 2x = 84 Solving 36 + 2x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 2x = 84 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 84 + -36 2x = 84 + -36 Combine like terms: 84 + -36 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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