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Simplifying 14(-12x + -17) = 21(x + 4) Reorder the terms: 14(-17 + -12x) = 21(x + 4) (-17 * 14 + -12x * 14) = 21(x + 4) (-238 + -168x) = 21(x + 4) Reorder the terms: -238 + -168x = 21(4 + x) -238 + -168x = (4 * 21 + x * 21) -238 + -168x = (84 + 21x) Solving -238 + -168x = 84 + 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. -238 + -168x + -21x = 84 + 21x + -21x Combine like terms: -168x + -21x = -189x -238 + -189x = 84 + 21x + -21x Combine like terms: 21x + -21x = 0 -238 + -189x = 84 + 0 -238 + -189x = 84 Add '238' to each side of the equation. -238 + 238 + -189x = 84 + 238 Combine like terms: -238 + 238 = 0 0 + -189x = 84 + 238 -189x = 84 + 238 Combine like terms: 84 + 238 = 322 -189x = 322 Divide each side by '-189'. x = -1.703703704 Simplifying x = -1.703703704
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