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Simplifying 6(2x + 1) = (2x + 15) + -8x Reorder the terms: 6(1 + 2x) = (2x + 15) + -8x (1 * 6 + 2x * 6) = (2x + 15) + -8x (6 + 12x) = (2x + 15) + -8x Reorder the terms: 6 + 12x = (15 + 2x) + -8x Remove parenthesis around (15 + 2x) 6 + 12x = 15 + 2x + -8x Combine like terms: 2x + -8x = -6x 6 + 12x = 15 + -6x Solving 6 + 12x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + 12x + 6x = 15 + -6x + 6x Combine like terms: 12x + 6x = 18x 6 + 18x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 18x = 15 + 0 6 + 18x = 15 Add '-6' to each side of the equation. 6 + -6 + 18x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 18x = 15 + -6 18x = 15 + -6 Combine like terms: 15 + -6 = 9 18x = 9 Divide each side by '18'. x = 0.5 Simplifying x = 0.5
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