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Simplifying 5(3x + 2) = 6(4x + 5) Reorder the terms: 5(2 + 3x) = 6(4x + 5) (2 * 5 + 3x * 5) = 6(4x + 5) (10 + 15x) = 6(4x + 5) Reorder the terms: 10 + 15x = 6(5 + 4x) 10 + 15x = (5 * 6 + 4x * 6) 10 + 15x = (30 + 24x) Solving 10 + 15x = 30 + 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. 10 + 15x + -24x = 30 + 24x + -24x Combine like terms: 15x + -24x = -9x 10 + -9x = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + -9x = 30 + 0 10 + -9x = 30 Add '-10' to each side of the equation. 10 + -10 + -9x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 30 + -10 -9x = 30 + -10 Combine like terms: 30 + -10 = 20 -9x = 20 Divide each side by '-9'. x = -2.222222222 Simplifying x = -2.222222222
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