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Simplifying 3(2x + 1) = 8x + -9 Reorder the terms: 3(1 + 2x) = 8x + -9 (1 * 3 + 2x * 3) = 8x + -9 (3 + 6x) = 8x + -9 Reorder the terms: 3 + 6x = -9 + 8x Solving 3 + 6x = -9 + 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. 3 + 6x + -8x = -9 + 8x + -8x Combine like terms: 6x + -8x = -2x 3 + -2x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -2x = -9 + 0 3 + -2x = -9 Add '-3' to each side of the equation. 3 + -3 + -2x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -9 + -3 -2x = -9 + -3 Combine like terms: -9 + -3 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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