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Simplifying -27 + 14 = 3x + 2 + -2x Combine like terms: -27 + 14 = -13 -13 = 3x + 2 + -2x Reorder the terms: -13 = 2 + 3x + -2x Combine like terms: 3x + -2x = 1x -13 = 2 + 1x Solving -13 = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + -1x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -13 + -1x = 2 + 0 -13 + -1x = 2 Add '13' to each side of the equation. -13 + 13 + -1x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 2 + 13 -1x = 2 + 13 Combine like terms: 2 + 13 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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