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Simplifying 2(4x + 5) = 6(5x + 4) Reorder the terms: 2(5 + 4x) = 6(5x + 4) (5 * 2 + 4x * 2) = 6(5x + 4) (10 + 8x) = 6(5x + 4) Reorder the terms: 10 + 8x = 6(4 + 5x) 10 + 8x = (4 * 6 + 5x * 6) 10 + 8x = (24 + 30x) Solving 10 + 8x = 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 + 8x + -30x = 24 + 30x + -30x Combine like terms: 8x + -30x = -22x 10 + -22x = 24 + 30x + -30x Combine like terms: 30x + -30x = 0 10 + -22x = 24 + 0 10 + -22x = 24 Add '-10' to each side of the equation. 10 + -10 + -22x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -22x = 24 + -10 -22x = 24 + -10 Combine like terms: 24 + -10 = 14 -22x = 14 Divide each side by '-22'. x = -0.6363636364 Simplifying x = -0.6363636364
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