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Simplifying 3x + 6(9 + -4x) = 9x + -6 3x + (9 * 6 + -4x * 6) = 9x + -6 3x + (54 + -24x) = 9x + -6 Reorder the terms: 54 + 3x + -24x = 9x + -6 Combine like terms: 3x + -24x = -21x 54 + -21x = 9x + -6 Reorder the terms: 54 + -21x = -6 + 9x Solving 54 + -21x = -6 + 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. 54 + -21x + -9x = -6 + 9x + -9x Combine like terms: -21x + -9x = -30x 54 + -30x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 54 + -30x = -6 + 0 54 + -30x = -6 Add '-54' to each side of the equation. 54 + -54 + -30x = -6 + -54 Combine like terms: 54 + -54 = 0 0 + -30x = -6 + -54 -30x = -6 + -54 Combine like terms: -6 + -54 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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