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Simplifying 7(x + 7) + -9(3x + -4) = 18 Reorder the terms: 7(7 + x) + -9(3x + -4) = 18 (7 * 7 + x * 7) + -9(3x + -4) = 18 (49 + 7x) + -9(3x + -4) = 18 Reorder the terms: 49 + 7x + -9(-4 + 3x) = 18 49 + 7x + (-4 * -9 + 3x * -9) = 18 49 + 7x + (36 + -27x) = 18 Reorder the terms: 49 + 36 + 7x + -27x = 18 Combine like terms: 49 + 36 = 85 85 + 7x + -27x = 18 Combine like terms: 7x + -27x = -20x 85 + -20x = 18 Solving 85 + -20x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -20x = 18 + -85 Combine like terms: 85 + -85 = 0 0 + -20x = 18 + -85 -20x = 18 + -85 Combine like terms: 18 + -85 = -67 -20x = -67 Divide each side by '-20'. x = 3.35 Simplifying x = 3.35
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