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Simplifying 2x + 12 = 7x + -13 Reorder the terms: 12 + 2x = 7x + -13 Reorder the terms: 12 + 2x = -13 + 7x Solving 12 + 2x = -13 + 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. 12 + 2x + -7x = -13 + 7x + -7x Combine like terms: 2x + -7x = -5x 12 + -5x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -5x = -13 + 0 12 + -5x = -13 Add '-12' to each side of the equation. 12 + -12 + -5x = -13 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -13 + -12 -5x = -13 + -12 Combine like terms: -13 + -12 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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