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Simplifying 12x + -5(60 + 4x) = 6x + 6(6x + -180) 12x + (60 * -5 + 4x * -5) = 6x + 6(6x + -180) 12x + (-300 + -20x) = 6x + 6(6x + -180) Reorder the terms: -300 + 12x + -20x = 6x + 6(6x + -180) Combine like terms: 12x + -20x = -8x -300 + -8x = 6x + 6(6x + -180) Reorder the terms: -300 + -8x = 6x + 6(-180 + 6x) -300 + -8x = 6x + (-180 * 6 + 6x * 6) -300 + -8x = 6x + (-1080 + 36x) Reorder the terms: -300 + -8x = -1080 + 6x + 36x Combine like terms: 6x + 36x = 42x -300 + -8x = -1080 + 42x Solving -300 + -8x = -1080 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -300 + -8x + -42x = -1080 + 42x + -42x Combine like terms: -8x + -42x = -50x -300 + -50x = -1080 + 42x + -42x Combine like terms: 42x + -42x = 0 -300 + -50x = -1080 + 0 -300 + -50x = -1080 Add '300' to each side of the equation. -300 + 300 + -50x = -1080 + 300 Combine like terms: -300 + 300 = 0 0 + -50x = -1080 + 300 -50x = -1080 + 300 Combine like terms: -1080 + 300 = -780 -50x = -780 Divide each side by '-50'. x = 15.6 Simplifying x = 15.6
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