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Simplifying -9(7x + 3) + 7(6x + -1) = -118 Reorder the terms: -9(3 + 7x) + 7(6x + -1) = -118 (3 * -9 + 7x * -9) + 7(6x + -1) = -118 (-27 + -63x) + 7(6x + -1) = -118 Reorder the terms: -27 + -63x + 7(-1 + 6x) = -118 -27 + -63x + (-1 * 7 + 6x * 7) = -118 -27 + -63x + (-7 + 42x) = -118 Reorder the terms: -27 + -7 + -63x + 42x = -118 Combine like terms: -27 + -7 = -34 -34 + -63x + 42x = -118 Combine like terms: -63x + 42x = -21x -34 + -21x = -118 Solving -34 + -21x = -118 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -21x = -118 + 34 Combine like terms: -34 + 34 = 0 0 + -21x = -118 + 34 -21x = -118 + 34 Combine like terms: -118 + 34 = -84 -21x = -84 Divide each side by '-21'. x = 4 Simplifying x = 4
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