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Simplifying 174 = -7x + -4(-7x + 9) Reorder the terms: 174 = -7x + -4(9 + -7x) 174 = -7x + (9 * -4 + -7x * -4) 174 = -7x + (-36 + 28x) Reorder the terms: 174 = -36 + -7x + 28x Combine like terms: -7x + 28x = 21x 174 = -36 + 21x Solving 174 = -36 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 174 + -21x = -36 + 21x + -21x Combine like terms: 21x + -21x = 0 174 + -21x = -36 + 0 174 + -21x = -36 Add '-174' to each side of the equation. 174 + -174 + -21x = -36 + -174 Combine like terms: 174 + -174 = 0 0 + -21x = -36 + -174 -21x = -36 + -174 Combine like terms: -36 + -174 = -210 -21x = -210 Divide each side by '-21'. x = 10 Simplifying x = 10
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