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Simplifying 5(60) + 7x = 6(60 + x) Multiply 5 * 60 300 + 7x = 6(60 + x) 300 + 7x = (60 * 6 + x * 6) 300 + 7x = (360 + 6x) Solving 300 + 7x = 360 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 300 + 7x + -6x = 360 + 6x + -6x Combine like terms: 7x + -6x = 1x 300 + 1x = 360 + 6x + -6x Combine like terms: 6x + -6x = 0 300 + 1x = 360 + 0 300 + 1x = 360 Add '-300' to each side of the equation. 300 + -300 + 1x = 360 + -300 Combine like terms: 300 + -300 = 0 0 + 1x = 360 + -300 1x = 360 + -300 Combine like terms: 360 + -300 = 60 1x = 60 Divide each side by '1'. x = 60 Simplifying x = 60
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