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Simplifying 2(6x + 5) = 6(5x + -4) Reorder the terms: 2(5 + 6x) = 6(5x + -4) (5 * 2 + 6x * 2) = 6(5x + -4) (10 + 12x) = 6(5x + -4) Reorder the terms: 10 + 12x = 6(-4 + 5x) 10 + 12x = (-4 * 6 + 5x * 6) 10 + 12x = (-24 + 30x) Solving 10 + 12x = -24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 10 + 12x + -30x = -24 + 30x + -30x Combine like terms: 12x + -30x = -18x 10 + -18x = -24 + 30x + -30x Combine like terms: 30x + -30x = 0 10 + -18x = -24 + 0 10 + -18x = -24 Add '-10' to each side of the equation. 10 + -10 + -18x = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -18x = -24 + -10 -18x = -24 + -10 Combine like terms: -24 + -10 = -34 -18x = -34 Divide each side by '-18'. x = 1.888888889 Simplifying x = 1.888888889
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