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Simplifying 7x + 13 + 3x + 11 = 3x + 17 Reorder the terms: 13 + 11 + 7x + 3x = 3x + 17 Combine like terms: 13 + 11 = 24 24 + 7x + 3x = 3x + 17 Combine like terms: 7x + 3x = 10x 24 + 10x = 3x + 17 Reorder the terms: 24 + 10x = 17 + 3x Solving 24 + 10x = 17 + 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. 24 + 10x + -3x = 17 + 3x + -3x Combine like terms: 10x + -3x = 7x 24 + 7x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 7x = 17 + 0 24 + 7x = 17 Add '-24' to each side of the equation. 24 + -24 + 7x = 17 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 17 + -24 7x = 17 + -24 Combine like terms: 17 + -24 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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