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Simplifying 32x + -64 + -3x + 15 + 40x + -40 = 32x + 80 Reorder the terms: -64 + 15 + -40 + 32x + -3x + 40x = 32x + 80 Combine like terms: -64 + 15 = -49 -49 + -40 + 32x + -3x + 40x = 32x + 80 Combine like terms: -49 + -40 = -89 -89 + 32x + -3x + 40x = 32x + 80 Combine like terms: 32x + -3x = 29x -89 + 29x + 40x = 32x + 80 Combine like terms: 29x + 40x = 69x -89 + 69x = 32x + 80 Reorder the terms: -89 + 69x = 80 + 32x Solving -89 + 69x = 80 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -89 + 69x + -32x = 80 + 32x + -32x Combine like terms: 69x + -32x = 37x -89 + 37x = 80 + 32x + -32x Combine like terms: 32x + -32x = 0 -89 + 37x = 80 + 0 -89 + 37x = 80 Add '89' to each side of the equation. -89 + 89 + 37x = 80 + 89 Combine like terms: -89 + 89 = 0 0 + 37x = 80 + 89 37x = 80 + 89 Combine like terms: 80 + 89 = 169 37x = 169 Divide each side by '37'. x = 4.567567568 Simplifying x = 4.567567568
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