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Simplifying 7 + 3x = 4(6 + 5x) 7 + 3x = (6 * 4 + 5x * 4) 7 + 3x = (24 + 20x) Solving 7 + 3x = 24 + 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. 7 + 3x + -20x = 24 + 20x + -20x Combine like terms: 3x + -20x = -17x 7 + -17x = 24 + 20x + -20x Combine like terms: 20x + -20x = 0 7 + -17x = 24 + 0 7 + -17x = 24 Add '-7' to each side of the equation. 7 + -7 + -17x = 24 + -7 Combine like terms: 7 + -7 = 0 0 + -17x = 24 + -7 -17x = 24 + -7 Combine like terms: 24 + -7 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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