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Simplifying 5x + -15 = 12x + -61 Reorder the terms: -15 + 5x = 12x + -61 Reorder the terms: -15 + 5x = -61 + 12x Solving -15 + 5x = -61 + 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. -15 + 5x + -12x = -61 + 12x + -12x Combine like terms: 5x + -12x = -7x -15 + -7x = -61 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -7x = -61 + 0 -15 + -7x = -61 Add '15' to each side of the equation. -15 + 15 + -7x = -61 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = -61 + 15 -7x = -61 + 15 Combine like terms: -61 + 15 = -46 -7x = -46 Divide each side by '-7'. x = 6.571428571 Simplifying x = 6.571428571
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