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Simplifying (6x + 3) + 9(4x + -3) = 9x + 12 Reorder the terms: (3 + 6x) + 9(4x + -3) = 9x + 12 Remove parenthesis around (3 + 6x) 3 + 6x + 9(4x + -3) = 9x + 12 Reorder the terms: 3 + 6x + 9(-3 + 4x) = 9x + 12 3 + 6x + (-3 * 9 + 4x * 9) = 9x + 12 3 + 6x + (-27 + 36x) = 9x + 12 Reorder the terms: 3 + -27 + 6x + 36x = 9x + 12 Combine like terms: 3 + -27 = -24 -24 + 6x + 36x = 9x + 12 Combine like terms: 6x + 36x = 42x -24 + 42x = 9x + 12 Reorder the terms: -24 + 42x = 12 + 9x Solving -24 + 42x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 42x + -9x = 12 + 9x + -9x Combine like terms: 42x + -9x = 33x -24 + 33x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 33x = 12 + 0 -24 + 33x = 12 Add '24' to each side of the equation. -24 + 24 + 33x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 33x = 12 + 24 33x = 12 + 24 Combine like terms: 12 + 24 = 36 33x = 36 Divide each side by '33'. x = 1.090909091 Simplifying x = 1.090909091
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