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Simplifying 3x + 14 + -2x = 9 + 5x + -7 Reorder the terms: 14 + 3x + -2x = 9 + 5x + -7 Combine like terms: 3x + -2x = 1x 14 + 1x = 9 + 5x + -7 Reorder the terms: 14 + 1x = 9 + -7 + 5x Combine like terms: 9 + -7 = 2 14 + 1x = 2 + 5x Solving 14 + 1x = 2 + 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. 14 + 1x + -5x = 2 + 5x + -5x Combine like terms: 1x + -5x = -4x 14 + -4x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -4x = 2 + 0 14 + -4x = 2 Add '-14' to each side of the equation. 14 + -14 + -4x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 2 + -14 -4x = 2 + -14 Combine like terms: 2 + -14 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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