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Simplifying 9(12x + -40) = 2(21x + -20) Reorder the terms: 9(-40 + 12x) = 2(21x + -20) (-40 * 9 + 12x * 9) = 2(21x + -20) (-360 + 108x) = 2(21x + -20) Reorder the terms: -360 + 108x = 2(-20 + 21x) -360 + 108x = (-20 * 2 + 21x * 2) -360 + 108x = (-40 + 42x) Solving -360 + 108x = -40 + 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. -360 + 108x + -42x = -40 + 42x + -42x Combine like terms: 108x + -42x = 66x -360 + 66x = -40 + 42x + -42x Combine like terms: 42x + -42x = 0 -360 + 66x = -40 + 0 -360 + 66x = -40 Add '360' to each side of the equation. -360 + 360 + 66x = -40 + 360 Combine like terms: -360 + 360 = 0 0 + 66x = -40 + 360 66x = -40 + 360 Combine like terms: -40 + 360 = 320 66x = 320 Divide each side by '66'. x = 4.848484848 Simplifying x = 4.848484848
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