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Simplifying -7(8 + -3x) + -2(2x + -2) = 67 (8 * -7 + -3x * -7) + -2(2x + -2) = 67 (-56 + 21x) + -2(2x + -2) = 67 Reorder the terms: -56 + 21x + -2(-2 + 2x) = 67 -56 + 21x + (-2 * -2 + 2x * -2) = 67 -56 + 21x + (4 + -4x) = 67 Reorder the terms: -56 + 4 + 21x + -4x = 67 Combine like terms: -56 + 4 = -52 -52 + 21x + -4x = 67 Combine like terms: 21x + -4x = 17x -52 + 17x = 67 Solving -52 + 17x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 17x = 67 + 52 Combine like terms: -52 + 52 = 0 0 + 17x = 67 + 52 17x = 67 + 52 Combine like terms: 67 + 52 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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