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Simplifying 5x + 14 = 12x + -35 Reorder the terms: 14 + 5x = 12x + -35 Reorder the terms: 14 + 5x = -35 + 12x Solving 14 + 5x = -35 + 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 = -35 + 12x + -12x Combine like terms: 5x + -12x = -7x 14 + -7x = -35 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -7x = -35 + 0 14 + -7x = -35 Add '-14' to each side of the equation. 14 + -14 + -7x = -35 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -35 + -14 -7x = -35 + -14 Combine like terms: -35 + -14 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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