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Simplifying 4x + 4x + (5x + 45) + (5x + 45) = 360 Reorder the terms: 4x + 4x + (45 + 5x) + (5x + 45) = 360 Remove parenthesis around (45 + 5x) 4x + 4x + 45 + 5x + (5x + 45) = 360 Reorder the terms: 4x + 4x + 45 + 5x + (45 + 5x) = 360 Remove parenthesis around (45 + 5x) 4x + 4x + 45 + 5x + 45 + 5x = 360 Reorder the terms: 45 + 45 + 4x + 4x + 5x + 5x = 360 Combine like terms: 45 + 45 = 90 90 + 4x + 4x + 5x + 5x = 360 Combine like terms: 4x + 4x = 8x 90 + 8x + 5x + 5x = 360 Combine like terms: 8x + 5x = 13x 90 + 13x + 5x = 360 Combine like terms: 13x + 5x = 18x 90 + 18x = 360 Solving 90 + 18x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 18x = 360 + -90 Combine like terms: 90 + -90 = 0 0 + 18x = 360 + -90 18x = 360 + -90 Combine like terms: 360 + -90 = 270 18x = 270 Divide each side by '18'. x = 15 Simplifying x = 15
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