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Simplifying ((5x + -18) + (4x + 7)) * 2 = 360 Reorder the terms: ((-18 + 5x) + (4x + 7)) * 2 = 360 Remove parenthesis around (-18 + 5x) (-18 + 5x + (4x + 7)) * 2 = 360 Reorder the terms: (-18 + 5x + (7 + 4x)) * 2 = 360 Remove parenthesis around (7 + 4x) (-18 + 5x + 7 + 4x) * 2 = 360 Reorder the terms: (-18 + 7 + 5x + 4x) * 2 = 360 Combine like terms: -18 + 7 = -11 (-11 + 5x + 4x) * 2 = 360 Combine like terms: 5x + 4x = 9x (-11 + 9x) * 2 = 360 Reorder the terms for easier multiplication: 2(-11 + 9x) = 360 (-11 * 2 + 9x * 2) = 360 (-22 + 18x) = 360 Solving -22 + 18x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 18x = 360 + 22 Combine like terms: -22 + 22 = 0 0 + 18x = 360 + 22 18x = 360 + 22 Combine like terms: 360 + 22 = 382 18x = 382 Divide each side by '18'. x = 21.22222222 Simplifying x = 21.22222222
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