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Simplifying 3(4x + 7) = 5(3x + 3) Reorder the terms: 3(7 + 4x) = 5(3x + 3) (7 * 3 + 4x * 3) = 5(3x + 3) (21 + 12x) = 5(3x + 3) Reorder the terms: 21 + 12x = 5(3 + 3x) 21 + 12x = (3 * 5 + 3x * 5) 21 + 12x = (15 + 15x) Solving 21 + 12x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 21 + 12x + -15x = 15 + 15x + -15x Combine like terms: 12x + -15x = -3x 21 + -3x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -3x = 15 + 0 21 + -3x = 15 Add '-21' to each side of the equation. 21 + -21 + -3x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 15 + -21 -3x = 15 + -21 Combine like terms: 15 + -21 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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