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Simplifying -7x = 12 + -1(4x + -9) Reorder the terms: -7x = 12 + -1(-9 + 4x) -7x = 12 + (-9 * -1 + 4x * -1) -7x = 12 + (9 + -4x) Combine like terms: 12 + 9 = 21 -7x = 21 + -4x Solving -7x = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7x + 4x = 21 + -4x + 4x Combine like terms: -7x + 4x = -3x -3x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -3x = 21 + 0 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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