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Simplifying 8x + -21 + 47x + -13 + 5x + -11 + 6x + 14 = 360 Reorder the terms: -21 + -13 + -11 + 14 + 8x + 47x + 5x + 6x = 360 Combine like terms: -21 + -13 = -34 -34 + -11 + 14 + 8x + 47x + 5x + 6x = 360 Combine like terms: -34 + -11 = -45 -45 + 14 + 8x + 47x + 5x + 6x = 360 Combine like terms: -45 + 14 = -31 -31 + 8x + 47x + 5x + 6x = 360 Combine like terms: 8x + 47x = 55x -31 + 55x + 5x + 6x = 360 Combine like terms: 55x + 5x = 60x -31 + 60x + 6x = 360 Combine like terms: 60x + 6x = 66x -31 + 66x = 360 Solving -31 + 66x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 66x = 360 + 31 Combine like terms: -31 + 31 = 0 0 + 66x = 360 + 31 66x = 360 + 31 Combine like terms: 360 + 31 = 391 66x = 391 Divide each side by '66'. x = 5.924242424 Simplifying x = 5.924242424
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