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Simplifying 9 + -5(3x + -2) = 7 + -12x Reorder the terms: 9 + -5(-2 + 3x) = 7 + -12x 9 + (-2 * -5 + 3x * -5) = 7 + -12x 9 + (10 + -15x) = 7 + -12x Combine like terms: 9 + 10 = 19 19 + -15x = 7 + -12x Solving 19 + -15x = 7 + -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. 19 + -15x + 12x = 7 + -12x + 12x Combine like terms: -15x + 12x = -3x 19 + -3x = 7 + -12x + 12x Combine like terms: -12x + 12x = 0 19 + -3x = 7 + 0 19 + -3x = 7 Add '-19' to each side of the equation. 19 + -19 + -3x = 7 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = 7 + -19 -3x = 7 + -19 Combine like terms: 7 + -19 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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