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Simplifying 3(x + 7) + -9(x + 5) = 18 Reorder the terms: 3(7 + x) + -9(x + 5) = 18 (7 * 3 + x * 3) + -9(x + 5) = 18 (21 + 3x) + -9(x + 5) = 18 Reorder the terms: 21 + 3x + -9(5 + x) = 18 21 + 3x + (5 * -9 + x * -9) = 18 21 + 3x + (-45 + -9x) = 18 Reorder the terms: 21 + -45 + 3x + -9x = 18 Combine like terms: 21 + -45 = -24 -24 + 3x + -9x = 18 Combine like terms: 3x + -9x = -6x -24 + -6x = 18 Solving -24 + -6x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -6x = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 18 + 24 -6x = 18 + 24 Combine like terms: 18 + 24 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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