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Simplifying 3(4x + 3) = 2x + 6 + 3(2x) Reorder the terms: 3(3 + 4x) = 2x + 6 + 3(2x) (3 * 3 + 4x * 3) = 2x + 6 + 3(2x) (9 + 12x) = 2x + 6 + 3(2x) Remove parenthesis around (2x) 9 + 12x = 2x + 6 + 3 * 2x Multiply 3 * 2 9 + 12x = 2x + 6 + 6x Reorder the terms: 9 + 12x = 6 + 2x + 6x Combine like terms: 2x + 6x = 8x 9 + 12x = 6 + 8x Solving 9 + 12x = 6 + 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. 9 + 12x + -8x = 6 + 8x + -8x Combine like terms: 12x + -8x = 4x 9 + 4x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 4x = 6 + 0 9 + 4x = 6 Add '-9' to each side of the equation. 9 + -9 + 4x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 6 + -9 4x = 6 + -9 Combine like terms: 6 + -9 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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