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Simplifying (4x + -2) + (6x + 6) + (7x + -18) = 360 Reorder the terms: (-2 + 4x) + (6x + 6) + (7x + -18) = 360 Remove parenthesis around (-2 + 4x) -2 + 4x + (6x + 6) + (7x + -18) = 360 Reorder the terms: -2 + 4x + (6 + 6x) + (7x + -18) = 360 Remove parenthesis around (6 + 6x) -2 + 4x + 6 + 6x + (7x + -18) = 360 Reorder the terms: -2 + 4x + 6 + 6x + (-18 + 7x) = 360 Remove parenthesis around (-18 + 7x) -2 + 4x + 6 + 6x + -18 + 7x = 360 Reorder the terms: -2 + 6 + -18 + 4x + 6x + 7x = 360 Combine like terms: -2 + 6 = 4 4 + -18 + 4x + 6x + 7x = 360 Combine like terms: 4 + -18 = -14 -14 + 4x + 6x + 7x = 360 Combine like terms: 4x + 6x = 10x -14 + 10x + 7x = 360 Combine like terms: 10x + 7x = 17x -14 + 17x = 360 Solving -14 + 17x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 17x = 360 + 14 Combine like terms: -14 + 14 = 0 0 + 17x = 360 + 14 17x = 360 + 14 Combine like terms: 360 + 14 = 374 17x = 374 Divide each side by '17'. x = 22 Simplifying x = 22
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