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Simplifying -7(3x + 12) = 9x + -234 Reorder the terms: -7(12 + 3x) = 9x + -234 (12 * -7 + 3x * -7) = 9x + -234 (-84 + -21x) = 9x + -234 Reorder the terms: -84 + -21x = -234 + 9x Solving -84 + -21x = -234 + 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. -84 + -21x + -9x = -234 + 9x + -9x Combine like terms: -21x + -9x = -30x -84 + -30x = -234 + 9x + -9x Combine like terms: 9x + -9x = 0 -84 + -30x = -234 + 0 -84 + -30x = -234 Add '84' to each side of the equation. -84 + 84 + -30x = -234 + 84 Combine like terms: -84 + 84 = 0 0 + -30x = -234 + 84 -30x = -234 + 84 Combine like terms: -234 + 84 = -150 -30x = -150 Divide each side by '-30'. x = 5 Simplifying x = 5
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