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Simplifying 9 + 7(6x + -3) = (12 + 3x) * 2 Reorder the terms: 9 + 7(-3 + 6x) = (12 + 3x) * 2 9 + (-3 * 7 + 6x * 7) = (12 + 3x) * 2 9 + (-21 + 42x) = (12 + 3x) * 2 Combine like terms: 9 + -21 = -12 -12 + 42x = (12 + 3x) * 2 Reorder the terms for easier multiplication: -12 + 42x = 2(12 + 3x) -12 + 42x = (12 * 2 + 3x * 2) -12 + 42x = (24 + 6x) Solving -12 + 42x = 24 + 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. -12 + 42x + -6x = 24 + 6x + -6x Combine like terms: 42x + -6x = 36x -12 + 36x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 36x = 24 + 0 -12 + 36x = 24 Add '12' to each side of the equation. -12 + 12 + 36x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 36x = 24 + 12 36x = 24 + 12 Combine like terms: 24 + 12 = 36 36x = 36 Divide each side by '36'. x = 1 Simplifying x = 1
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