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Simplifying -12x + 10 + 5x = -88 + 7x + 14 Reorder the terms: 10 + -12x + 5x = -88 + 7x + 14 Combine like terms: -12x + 5x = -7x 10 + -7x = -88 + 7x + 14 Reorder the terms: 10 + -7x = -88 + 14 + 7x Combine like terms: -88 + 14 = -74 10 + -7x = -74 + 7x Solving 10 + -7x = -74 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + -7x + -7x = -74 + 7x + -7x Combine like terms: -7x + -7x = -14x 10 + -14x = -74 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -14x = -74 + 0 10 + -14x = -74 Add '-10' to each side of the equation. 10 + -10 + -14x = -74 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = -74 + -10 -14x = -74 + -10 Combine like terms: -74 + -10 = -84 -14x = -84 Divide each side by '-14'. x = 6 Simplifying x = 6
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