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Simplifying 8x + 3 + 5x + 12 = 20x + 1 Reorder the terms: 3 + 12 + 8x + 5x = 20x + 1 Combine like terms: 3 + 12 = 15 15 + 8x + 5x = 20x + 1 Combine like terms: 8x + 5x = 13x 15 + 13x = 20x + 1 Reorder the terms: 15 + 13x = 1 + 20x Solving 15 + 13x = 1 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 15 + 13x + -20x = 1 + 20x + -20x Combine like terms: 13x + -20x = -7x 15 + -7x = 1 + 20x + -20x Combine like terms: 20x + -20x = 0 15 + -7x = 1 + 0 15 + -7x = 1 Add '-15' to each side of the equation. 15 + -15 + -7x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 1 + -15 -7x = 1 + -15 Combine like terms: 1 + -15 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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