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Simplifying 4(5x + 34) = 3(x + 51) Reorder the terms: 4(34 + 5x) = 3(x + 51) (34 * 4 + 5x * 4) = 3(x + 51) (136 + 20x) = 3(x + 51) Reorder the terms: 136 + 20x = 3(51 + x) 136 + 20x = (51 * 3 + x * 3) 136 + 20x = (153 + 3x) Solving 136 + 20x = 153 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 136 + 20x + -3x = 153 + 3x + -3x Combine like terms: 20x + -3x = 17x 136 + 17x = 153 + 3x + -3x Combine like terms: 3x + -3x = 0 136 + 17x = 153 + 0 136 + 17x = 153 Add '-136' to each side of the equation. 136 + -136 + 17x = 153 + -136 Combine like terms: 136 + -136 = 0 0 + 17x = 153 + -136 17x = 153 + -136 Combine like terms: 153 + -136 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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