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Simplifying 3(2x + 5) = 8x + 1 Reorder the terms: 3(5 + 2x) = 8x + 1 (5 * 3 + 2x * 3) = 8x + 1 (15 + 6x) = 8x + 1 Reorder the terms: 15 + 6x = 1 + 8x Solving 15 + 6x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 6x + -8x = 1 + 8x + -8x Combine like terms: 6x + -8x = -2x 15 + -2x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -2x = 1 + 0 15 + -2x = 1 Add '-15' to each side of the equation. 15 + -15 + -2x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 1 + -15 -2x = 1 + -15 Combine like terms: 1 + -15 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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