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Simplifying 3x + 13 = 83 + -4x Reorder the terms: 13 + 3x = 83 + -4x Solving 13 + 3x = 83 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 13 + 3x + 4x = 83 + -4x + 4x Combine like terms: 3x + 4x = 7x 13 + 7x = 83 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 7x = 83 + 0 13 + 7x = 83 Add '-13' to each side of the equation. 13 + -13 + 7x = 83 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 83 + -13 7x = 83 + -13 Combine like terms: 83 + -13 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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