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Simplifying 48(8 + x) = 6(7 + x) (8 * 48 + x * 48) = 6(7 + x) (384 + 48x) = 6(7 + x) 384 + 48x = (7 * 6 + x * 6) 384 + 48x = (42 + 6x) Solving 384 + 48x = 42 + 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. 384 + 48x + -6x = 42 + 6x + -6x Combine like terms: 48x + -6x = 42x 384 + 42x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 384 + 42x = 42 + 0 384 + 42x = 42 Add '-384' to each side of the equation. 384 + -384 + 42x = 42 + -384 Combine like terms: 384 + -384 = 0 0 + 42x = 42 + -384 42x = 42 + -384 Combine like terms: 42 + -384 = -342 42x = -342 Divide each side by '42'. x = -8.142857143 Simplifying x = -8.142857143
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