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Simplifying 7x + 13 + 3x + 12 = 3x + 4 Reorder the terms: 13 + 12 + 7x + 3x = 3x + 4 Combine like terms: 13 + 12 = 25 25 + 7x + 3x = 3x + 4 Combine like terms: 7x + 3x = 10x 25 + 10x = 3x + 4 Reorder the terms: 25 + 10x = 4 + 3x Solving 25 + 10x = 4 + 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. 25 + 10x + -3x = 4 + 3x + -3x Combine like terms: 10x + -3x = 7x 25 + 7x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + 7x = 4 + 0 25 + 7x = 4 Add '-25' to each side of the equation. 25 + -25 + 7x = 4 + -25 Combine like terms: 25 + -25 = 0 0 + 7x = 4 + -25 7x = 4 + -25 Combine like terms: 4 + -25 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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