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Simplifying 171 = 3x + 4(-6x + 6) Reorder the terms: 171 = 3x + 4(6 + -6x) 171 = 3x + (6 * 4 + -6x * 4) 171 = 3x + (24 + -24x) Reorder the terms: 171 = 24 + 3x + -24x Combine like terms: 3x + -24x = -21x 171 = 24 + -21x Solving 171 = 24 + -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. 171 + 21x = 24 + -21x + 21x Combine like terms: -21x + 21x = 0 171 + 21x = 24 + 0 171 + 21x = 24 Add '-171' to each side of the equation. 171 + -171 + 21x = 24 + -171 Combine like terms: 171 + -171 = 0 0 + 21x = 24 + -171 21x = 24 + -171 Combine like terms: 24 + -171 = -147 21x = -147 Divide each side by '21'. x = -7 Simplifying x = -7
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