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Simplifying 3x + 4 = 5(-6 + 4x) Reorder the terms: 4 + 3x = 5(-6 + 4x) 4 + 3x = (-6 * 5 + 4x * 5) 4 + 3x = (-30 + 20x) Solving 4 + 3x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 4 + 3x + -20x = -30 + 20x + -20x Combine like terms: 3x + -20x = -17x 4 + -17x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + -17x = -30 + 0 4 + -17x = -30 Add '-4' to each side of the equation. 4 + -4 + -17x = -30 + -4 Combine like terms: 4 + -4 = 0 0 + -17x = -30 + -4 -17x = -30 + -4 Combine like terms: -30 + -4 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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