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Simplifying 5(3x + 2) = 4(3x + 4) Reorder the terms: 5(2 + 3x) = 4(3x + 4) (2 * 5 + 3x * 5) = 4(3x + 4) (10 + 15x) = 4(3x + 4) Reorder the terms: 10 + 15x = 4(4 + 3x) 10 + 15x = (4 * 4 + 3x * 4) 10 + 15x = (16 + 12x) Solving 10 + 15x = 16 + 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 = 16 + 12x + -12x Combine like terms: 15x + -12x = 3x 10 + 3x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 3x = 16 + 0 10 + 3x = 16 Add '-10' to each side of the equation. 10 + -10 + 3x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 16 + -10 3x = 16 + -10 Combine like terms: 16 + -10 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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