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Simplifying 270 = 14x + 4 + 27x + -21 Reorder the terms: 270 = 4 + -21 + 14x + 27x Combine like terms: 4 + -21 = -17 270 = -17 + 14x + 27x Combine like terms: 14x + 27x = 41x 270 = -17 + 41x Solving 270 = -17 + 41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41x' to each side of the equation. 270 + -41x = -17 + 41x + -41x Combine like terms: 41x + -41x = 0 270 + -41x = -17 + 0 270 + -41x = -17 Add '-270' to each side of the equation. 270 + -270 + -41x = -17 + -270 Combine like terms: 270 + -270 = 0 0 + -41x = -17 + -270 -41x = -17 + -270 Combine like terms: -17 + -270 = -287 -41x = -287 Divide each side by '-41'. x = 7 Simplifying x = 7
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