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Simplifying 2x + 13 = 7x + -7 Reorder the terms: 13 + 2x = 7x + -7 Reorder the terms: 13 + 2x = -7 + 7x Solving 13 + 2x = -7 + 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. 13 + 2x + -7x = -7 + 7x + -7x Combine like terms: 2x + -7x = -5x 13 + -5x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -5x = -7 + 0 13 + -5x = -7 Add '-13' to each side of the equation. 13 + -13 + -5x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -7 + -13 -5x = -7 + -13 Combine like terms: -7 + -13 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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