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Simplifying 3x + 5 + -1x + -12 = 5x + 14 Reorder the terms: 5 + -12 + 3x + -1x = 5x + 14 Combine like terms: 5 + -12 = -7 -7 + 3x + -1x = 5x + 14 Combine like terms: 3x + -1x = 2x -7 + 2x = 5x + 14 Reorder the terms: -7 + 2x = 14 + 5x Solving -7 + 2x = 14 + 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. -7 + 2x + -5x = 14 + 5x + -5x Combine like terms: 2x + -5x = -3x -7 + -3x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -3x = 14 + 0 -7 + -3x = 14 Add '7' to each side of the equation. -7 + 7 + -3x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 14 + 7 -3x = 14 + 7 Combine like terms: 14 + 7 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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