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Simplifying 6x + 1 + 5x + -5x + -17 + 9x + -24 = 180 Reorder the terms: 1 + -17 + -24 + 6x + 5x + -5x + 9x = 180 Combine like terms: 1 + -17 = -16 -16 + -24 + 6x + 5x + -5x + 9x = 180 Combine like terms: -16 + -24 = -40 -40 + 6x + 5x + -5x + 9x = 180 Combine like terms: 6x + 5x = 11x -40 + 11x + -5x + 9x = 180 Combine like terms: 11x + -5x = 6x -40 + 6x + 9x = 180 Combine like terms: 6x + 9x = 15x -40 + 15x = 180 Solving -40 + 15x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 15x = 180 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = 180 + 40 15x = 180 + 40 Combine like terms: 180 + 40 = 220 15x = 220 Divide each side by '15'. x = 14.66666667 Simplifying x = 14.66666667
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