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Simplifying 8x + 13 + 3x + 12 = 3x + 1 Reorder the terms: 13 + 12 + 8x + 3x = 3x + 1 Combine like terms: 13 + 12 = 25 25 + 8x + 3x = 3x + 1 Combine like terms: 8x + 3x = 11x 25 + 11x = 3x + 1 Reorder the terms: 25 + 11x = 1 + 3x Solving 25 + 11x = 1 + 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 + 11x + -3x = 1 + 3x + -3x Combine like terms: 11x + -3x = 8x 25 + 8x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + 8x = 1 + 0 25 + 8x = 1 Add '-25' to each side of the equation. 25 + -25 + 8x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 8x = 1 + -25 8x = 1 + -25 Combine like terms: 1 + -25 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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