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Simplifying 3x + -5 + 2x + -7 = x + 1 + -1x + 6 Reorder the terms: -5 + -7 + 3x + 2x = x + 1 + -1x + 6 Combine like terms: -5 + -7 = -12 -12 + 3x + 2x = x + 1 + -1x + 6 Combine like terms: 3x + 2x = 5x -12 + 5x = x + 1 + -1x + 6 Reorder the terms: -12 + 5x = 1 + 6 + x + -1x Combine like terms: 1 + 6 = 7 -12 + 5x = 7 + x + -1x Combine like terms: x + -1x = 0 -12 + 5x = 7 + 0 -12 + 5x = 7 Solving -12 + 5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 7 + 12 5x = 7 + 12 Combine like terms: 7 + 12 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8
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