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