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Simplifying 6(8 + 7x) = 6(4x + 2) (8 * 6 + 7x * 6) = 6(4x + 2) (48 + 42x) = 6(4x + 2) Reorder the terms: 48 + 42x = 6(2 + 4x) 48 + 42x = (2 * 6 + 4x * 6) 48 + 42x = (12 + 24x) Solving 48 + 42x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 48 + 42x + -24x = 12 + 24x + -24x Combine like terms: 42x + -24x = 18x 48 + 18x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 48 + 18x = 12 + 0 48 + 18x = 12 Add '-48' to each side of the equation. 48 + -48 + 18x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 18x = 12 + -48 18x = 12 + -48 Combine like terms: 12 + -48 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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