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Simplifying 7x + 13 = 3x + -10 + 2x + 23 Reorder the terms: 13 + 7x = 3x + -10 + 2x + 23 Reorder the terms: 13 + 7x = -10 + 23 + 3x + 2x Combine like terms: -10 + 23 = 13 13 + 7x = 13 + 3x + 2x Combine like terms: 3x + 2x = 5x 13 + 7x = 13 + 5x Add '-13' to each side of the equation. 13 + -13 + 7x = 13 + -13 + 5x Combine like terms: 13 + -13 = 0 0 + 7x = 13 + -13 + 5x 7x = 13 + -13 + 5x Combine like terms: 13 + -13 = 0 7x = 0 + 5x 7x = 5x Solving 7x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x 2x = 5x + -5x Combine like terms: 5x + -5x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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