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Simplifying 5x + -14 = 4x + -7 Reorder the terms: -14 + 5x = 4x + -7 Reorder the terms: -14 + 5x = -7 + 4x Solving -14 + 5x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 5x + -4x = -7 + 4x + -4x Combine like terms: 5x + -4x = 1x -14 + 1x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 1x = -7 + 0 -14 + 1x = -7 Add '14' to each side of the equation. -14 + 14 + 1x = -7 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -7 + 14 1x = -7 + 14 Combine like terms: -7 + 14 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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