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Simplifying 167 = 3x + -4(6x + -5) Reorder the terms: 167 = 3x + -4(-5 + 6x) 167 = 3x + (-5 * -4 + 6x * -4) 167 = 3x + (20 + -24x) Reorder the terms: 167 = 20 + 3x + -24x Combine like terms: 3x + -24x = -21x 167 = 20 + -21x Solving 167 = 20 + -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. 167 + 21x = 20 + -21x + 21x Combine like terms: -21x + 21x = 0 167 + 21x = 20 + 0 167 + 21x = 20 Add '-167' to each side of the equation. 167 + -167 + 21x = 20 + -167 Combine like terms: 167 + -167 = 0 0 + 21x = 20 + -167 21x = 20 + -167 Combine like terms: 20 + -167 = -147 21x = -147 Divide each side by '21'. x = -7 Simplifying x = -7
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