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Simplifying 4(5 + -1x) = 6(5 + 7x) (5 * 4 + -1x * 4) = 6(5 + 7x) (20 + -4x) = 6(5 + 7x) 20 + -4x = (5 * 6 + 7x * 6) 20 + -4x = (30 + 42x) Solving 20 + -4x = 30 + 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. 20 + -4x + -42x = 30 + 42x + -42x Combine like terms: -4x + -42x = -46x 20 + -46x = 30 + 42x + -42x Combine like terms: 42x + -42x = 0 20 + -46x = 30 + 0 20 + -46x = 30 Add '-20' to each side of the equation. 20 + -20 + -46x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -46x = 30 + -20 -46x = 30 + -20 Combine like terms: 30 + -20 = 10 -46x = 10 Divide each side by '-46'. x = -0.2173913043 Simplifying x = -0.2173913043
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