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Simplifying 6(5x + 4) = 6(2x + 7) Reorder the terms: 6(4 + 5x) = 6(2x + 7) (4 * 6 + 5x * 6) = 6(2x + 7) (24 + 30x) = 6(2x + 7) Reorder the terms: 24 + 30x = 6(7 + 2x) 24 + 30x = (7 * 6 + 2x * 6) 24 + 30x = (42 + 12x) Solving 24 + 30x = 42 + 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. 24 + 30x + -12x = 42 + 12x + -12x Combine like terms: 30x + -12x = 18x 24 + 18x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + 18x = 42 + 0 24 + 18x = 42 Add '-24' to each side of the equation. 24 + -24 + 18x = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 18x = 42 + -24 18x = 42 + -24 Combine like terms: 42 + -24 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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