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Simplifying -78 + 66x + -21x + 20x + -47 + 88x = 10x + -36 + 36x + 18 Reorder the terms: -78 + -47 + 66x + -21x + 20x + 88x = 10x + -36 + 36x + 18 Combine like terms: -78 + -47 = -125 -125 + 66x + -21x + 20x + 88x = 10x + -36 + 36x + 18 Combine like terms: 66x + -21x = 45x -125 + 45x + 20x + 88x = 10x + -36 + 36x + 18 Combine like terms: 45x + 20x = 65x -125 + 65x + 88x = 10x + -36 + 36x + 18 Combine like terms: 65x + 88x = 153x -125 + 153x = 10x + -36 + 36x + 18 Reorder the terms: -125 + 153x = -36 + 18 + 10x + 36x Combine like terms: -36 + 18 = -18 -125 + 153x = -18 + 10x + 36x Combine like terms: 10x + 36x = 46x -125 + 153x = -18 + 46x Solving -125 + 153x = -18 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. -125 + 153x + -46x = -18 + 46x + -46x Combine like terms: 153x + -46x = 107x -125 + 107x = -18 + 46x + -46x Combine like terms: 46x + -46x = 0 -125 + 107x = -18 + 0 -125 + 107x = -18 Add '125' to each side of the equation. -125 + 125 + 107x = -18 + 125 Combine like terms: -125 + 125 = 0 0 + 107x = -18 + 125 107x = -18 + 125 Combine like terms: -18 + 125 = 107 107x = 107 Divide each side by '107'. x = 1 Simplifying x = 1
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