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Simplifying 177 = 3x + -6(4x + 2) Reorder the terms: 177 = 3x + -6(2 + 4x) 177 = 3x + (2 * -6 + 4x * -6) 177 = 3x + (-12 + -24x) Reorder the terms: 177 = -12 + 3x + -24x Combine like terms: 3x + -24x = -21x 177 = -12 + -21x Solving 177 = -12 + -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. 177 + 21x = -12 + -21x + 21x Combine like terms: -21x + 21x = 0 177 + 21x = -12 + 0 177 + 21x = -12 Add '-177' to each side of the equation. 177 + -177 + 21x = -12 + -177 Combine like terms: 177 + -177 = 0 0 + 21x = -12 + -177 21x = -12 + -177 Combine like terms: -12 + -177 = -189 21x = -189 Divide each side by '21'. x = -9 Simplifying x = -9
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