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Simplifying (6x + -41) * 2 + (3x + 22) * 2 = 360 Reorder the terms: (-41 + 6x) * 2 + (3x + 22) * 2 = 360 Reorder the terms for easier multiplication: 2(-41 + 6x) + (3x + 22) * 2 = 360 (-41 * 2 + 6x * 2) + (3x + 22) * 2 = 360 (-82 + 12x) + (3x + 22) * 2 = 360 Reorder the terms: -82 + 12x + (22 + 3x) * 2 = 360 Reorder the terms for easier multiplication: -82 + 12x + 2(22 + 3x) = 360 -82 + 12x + (22 * 2 + 3x * 2) = 360 -82 + 12x + (44 + 6x) = 360 Reorder the terms: -82 + 44 + 12x + 6x = 360 Combine like terms: -82 + 44 = -38 -38 + 12x + 6x = 360 Combine like terms: 12x + 6x = 18x -38 + 18x = 360 Solving -38 + 18x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 18x = 360 + 38 Combine like terms: -38 + 38 = 0 0 + 18x = 360 + 38 18x = 360 + 38 Combine like terms: 360 + 38 = 398 18x = 398 Divide each side by '18'. x = 22.11111111 Simplifying x = 22.11111111
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