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