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Simplifying 9 + -2(-3x + 7) = 12x + 13 Reorder the terms: 9 + -2(7 + -3x) = 12x + 13 9 + (7 * -2 + -3x * -2) = 12x + 13 9 + (-14 + 6x) = 12x + 13 Combine like terms: 9 + -14 = -5 -5 + 6x = 12x + 13 Reorder the terms: -5 + 6x = 13 + 12x Solving -5 + 6x = 13 + 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. -5 + 6x + -12x = 13 + 12x + -12x Combine like terms: 6x + -12x = -6x -5 + -6x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -6x = 13 + 0 -5 + -6x = 13 Add '5' to each side of the equation. -5 + 5 + -6x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 13 + 5 -6x = 13 + 5 Combine like terms: 13 + 5 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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