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Simplifying 162 = -4x + -7(-3x + 6) Reorder the terms: 162 = -4x + -7(6 + -3x) 162 = -4x + (6 * -7 + -3x * -7) 162 = -4x + (-42 + 21x) Reorder the terms: 162 = -42 + -4x + 21x Combine like terms: -4x + 21x = 17x 162 = -42 + 17x Solving 162 = -42 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 162 + -17x = -42 + 17x + -17x Combine like terms: 17x + -17x = 0 162 + -17x = -42 + 0 162 + -17x = -42 Add '-162' to each side of the equation. 162 + -162 + -17x = -42 + -162 Combine like terms: 162 + -162 = 0 0 + -17x = -42 + -162 -17x = -42 + -162 Combine like terms: -42 + -162 = -204 -17x = -204 Divide each side by '-17'. x = 12 Simplifying x = 12
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