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Simplifying 8x + 1 = 2(15x + 10) Reorder the terms: 1 + 8x = 2(15x + 10) Reorder the terms: 1 + 8x = 2(10 + 15x) 1 + 8x = (10 * 2 + 15x * 2) 1 + 8x = (20 + 30x) Solving 1 + 8x = 20 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 1 + 8x + -30x = 20 + 30x + -30x Combine like terms: 8x + -30x = -22x 1 + -22x = 20 + 30x + -30x Combine like terms: 30x + -30x = 0 1 + -22x = 20 + 0 1 + -22x = 20 Add '-1' to each side of the equation. 1 + -1 + -22x = 20 + -1 Combine like terms: 1 + -1 = 0 0 + -22x = 20 + -1 -22x = 20 + -1 Combine like terms: 20 + -1 = 19 -22x = 19 Divide each side by '-22'. x = -0.8636363636 Simplifying x = -0.8636363636
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