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Simplifying 9 + -7x = 7 + -4(2 + 3x) 9 + -7x = 7 + (2 * -4 + 3x * -4) 9 + -7x = 7 + (-8 + -12x) Combine like terms: 7 + -8 = -1 9 + -7x = -1 + -12x Solving 9 + -7x = -1 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 9 + -7x + 12x = -1 + -12x + 12x Combine like terms: -7x + 12x = 5x 9 + 5x = -1 + -12x + 12x Combine like terms: -12x + 12x = 0 9 + 5x = -1 + 0 9 + 5x = -1 Add '-9' to each side of the equation. 9 + -9 + 5x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = -1 + -9 5x = -1 + -9 Combine like terms: -1 + -9 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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