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Simplifying 5x + -14 = 12x + 7 Reorder the terms: -14 + 5x = 12x + 7 Reorder the terms: -14 + 5x = 7 + 12x Solving -14 + 5x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 5x + -12x = 7 + 12x + -12x Combine like terms: 5x + -12x = -7x -14 + -7x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -7x = 7 + 0 -14 + -7x = 7 Add '14' to each side of the equation. -14 + 14 + -7x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = 7 + 14 -7x = 7 + 14 Combine like terms: 7 + 14 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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