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Simplifying 4x + 7(34 + -3x) = -4 4x + (34 * 7 + -3x * 7) = -4 4x + (238 + -21x) = -4 Reorder the terms: 238 + 4x + -21x = -4 Combine like terms: 4x + -21x = -17x 238 + -17x = -4 Solving 238 + -17x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-238' to each side of the equation. 238 + -238 + -17x = -4 + -238 Combine like terms: 238 + -238 = 0 0 + -17x = -4 + -238 -17x = -4 + -238 Combine like terms: -4 + -238 = -242 -17x = -242 Divide each side by '-17'. x = 14.23529412 Simplifying x = 14.23529412
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