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Simplifying 10x + 5x + 10x + 5x + 9x + 1 + 9x + 1 + 9x + -14 = 360 Reorder the terms: 1 + 1 + -14 + 10x + 5x + 10x + 5x + 9x + 9x + 9x = 360 Combine like terms: 1 + 1 = 2 2 + -14 + 10x + 5x + 10x + 5x + 9x + 9x + 9x = 360 Combine like terms: 2 + -14 = -12 -12 + 10x + 5x + 10x + 5x + 9x + 9x + 9x = 360 Combine like terms: 10x + 5x = 15x -12 + 15x + 10x + 5x + 9x + 9x + 9x = 360 Combine like terms: 15x + 10x = 25x -12 + 25x + 5x + 9x + 9x + 9x = 360 Combine like terms: 25x + 5x = 30x -12 + 30x + 9x + 9x + 9x = 360 Combine like terms: 30x + 9x = 39x -12 + 39x + 9x + 9x = 360 Combine like terms: 39x + 9x = 48x -12 + 48x + 9x = 360 Combine like terms: 48x + 9x = 57x -12 + 57x = 360 Solving -12 + 57x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 57x = 360 + 12 Combine like terms: -12 + 12 = 0 0 + 57x = 360 + 12 57x = 360 + 12 Combine like terms: 360 + 12 = 372 57x = 372 Divide each side by '57'. x = 6.526315789 Simplifying x = 6.526315789
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