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Simplifying 7x + -13 = 3x + 7 Reorder the terms: -13 + 7x = 3x + 7 Reorder the terms: -13 + 7x = 7 + 3x Solving -13 + 7x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 7x + -3x = 7 + 3x + -3x Combine like terms: 7x + -3x = 4x -13 + 4x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 4x = 7 + 0 -13 + 4x = 7 Add '13' to each side of the equation. -13 + 13 + 4x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 7 + 13 4x = 7 + 13 Combine like terms: 7 + 13 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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