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Simplifying 7x + 2(4x + -9) = 117 Reorder the terms: 7x + 2(-9 + 4x) = 117 7x + (-9 * 2 + 4x * 2) = 117 7x + (-18 + 8x) = 117 Reorder the terms: -18 + 7x + 8x = 117 Combine like terms: 7x + 8x = 15x -18 + 15x = 117 Solving -18 + 15x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 15x = 117 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = 117 + 18 15x = 117 + 18 Combine like terms: 117 + 18 = 135 15x = 135 Divide each side by '15'. x = 9 Simplifying x = 9
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