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Simplifying 3x + 5 + -6x + 7 = 5x + -4 + -1 Reorder the terms: 5 + 7 + 3x + -6x = 5x + -4 + -1 Combine like terms: 5 + 7 = 12 12 + 3x + -6x = 5x + -4 + -1 Combine like terms: 3x + -6x = -3x 12 + -3x = 5x + -4 + -1 Reorder the terms: 12 + -3x = -4 + -1 + 5x Combine like terms: -4 + -1 = -5 12 + -3x = -5 + 5x Solving 12 + -3x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -3x + -5x = -5 + 5x + -5x Combine like terms: -3x + -5x = -8x 12 + -8x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -8x = -5 + 0 12 + -8x = -5 Add '-12' to each side of the equation. 12 + -12 + -8x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -5 + -12 -8x = -5 + -12 Combine like terms: -5 + -12 = -17 -8x = -17 Divide each side by '-8'. x = 2.125 Simplifying x = 2.125
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