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