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Simplifying -49x + 7 + -3x + 1 = 32 + 14x + -2x Reorder the terms: 7 + 1 + -49x + -3x = 32 + 14x + -2x Combine like terms: 7 + 1 = 8 8 + -49x + -3x = 32 + 14x + -2x Combine like terms: -49x + -3x = -52x 8 + -52x = 32 + 14x + -2x Combine like terms: 14x + -2x = 12x 8 + -52x = 32 + 12x Solving 8 + -52x = 32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + -52x + -12x = 32 + 12x + -12x Combine like terms: -52x + -12x = -64x 8 + -64x = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -64x = 32 + 0 8 + -64x = 32 Add '-8' to each side of the equation. 8 + -8 + -64x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -64x = 32 + -8 -64x = 32 + -8 Combine like terms: 32 + -8 = 24 -64x = 24 Divide each side by '-64'. x = -0.375 Simplifying x = -0.375
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