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Simplifying 2x + -4 + -3x = -14 + 5x + -2 Reorder the terms: -4 + 2x + -3x = -14 + 5x + -2 Combine like terms: 2x + -3x = -1x -4 + -1x = -14 + 5x + -2 Reorder the terms: -4 + -1x = -14 + -2 + 5x Combine like terms: -14 + -2 = -16 -4 + -1x = -16 + 5x Solving -4 + -1x = -16 + 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. -4 + -1x + -5x = -16 + 5x + -5x Combine like terms: -1x + -5x = -6x -4 + -6x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -6x = -16 + 0 -4 + -6x = -16 Add '4' to each side of the equation. -4 + 4 + -6x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -16 + 4 -6x = -16 + 4 Combine like terms: -16 + 4 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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