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Simplifying 5x + -27 + 7x + -26 + 10x + -23 = 180 Reorder the terms: -27 + -26 + -23 + 5x + 7x + 10x = 180 Combine like terms: -27 + -26 = -53 -53 + -23 + 5x + 7x + 10x = 180 Combine like terms: -53 + -23 = -76 -76 + 5x + 7x + 10x = 180 Combine like terms: 5x + 7x = 12x -76 + 12x + 10x = 180 Combine like terms: 12x + 10x = 22x -76 + 22x = 180 Solving -76 + 22x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + 22x = 180 + 76 Combine like terms: -76 + 76 = 0 0 + 22x = 180 + 76 22x = 180 + 76 Combine like terms: 180 + 76 = 256 22x = 256 Divide each side by '22'. x = 11.63636364 Simplifying x = 11.63636364
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