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Simplifying 4(4x + 40) = 6(2x + 60) Reorder the terms: 4(40 + 4x) = 6(2x + 60) (40 * 4 + 4x * 4) = 6(2x + 60) (160 + 16x) = 6(2x + 60) Reorder the terms: 160 + 16x = 6(60 + 2x) 160 + 16x = (60 * 6 + 2x * 6) 160 + 16x = (360 + 12x) Solving 160 + 16x = 360 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 160 + 16x + -12x = 360 + 12x + -12x Combine like terms: 16x + -12x = 4x 160 + 4x = 360 + 12x + -12x Combine like terms: 12x + -12x = 0 160 + 4x = 360 + 0 160 + 4x = 360 Add '-160' to each side of the equation. 160 + -160 + 4x = 360 + -160 Combine like terms: 160 + -160 = 0 0 + 4x = 360 + -160 4x = 360 + -160 Combine like terms: 360 + -160 = 200 4x = 200 Divide each side by '4'. x = 50 Simplifying x = 50
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