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Simplifying 12x + 30 = 7x + -45 Reorder the terms: 30 + 12x = 7x + -45 Reorder the terms: 30 + 12x = -45 + 7x Solving 30 + 12x = -45 + 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. 30 + 12x + -7x = -45 + 7x + -7x Combine like terms: 12x + -7x = 5x 30 + 5x = -45 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 5x = -45 + 0 30 + 5x = -45 Add '-30' to each side of the equation. 30 + -30 + 5x = -45 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -45 + -30 5x = -45 + -30 Combine like terms: -45 + -30 = -75 5x = -75 Divide each side by '5'. x = -15 Simplifying x = -15
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