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Simplifying 5(3x + 2) = 3(4x + 3) Reorder the terms: 5(2 + 3x) = 3(4x + 3) (2 * 5 + 3x * 5) = 3(4x + 3) (10 + 15x) = 3(4x + 3) Reorder the terms: 10 + 15x = 3(3 + 4x) 10 + 15x = (3 * 3 + 4x * 3) 10 + 15x = (9 + 12x) Solving 10 + 15x = 9 + 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. 10 + 15x + -12x = 9 + 12x + -12x Combine like terms: 15x + -12x = 3x 10 + 3x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 3x = 9 + 0 10 + 3x = 9 Add '-10' to each side of the equation. 10 + -10 + 3x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 9 + -10 3x = 9 + -10 Combine like terms: 9 + -10 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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