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Simplifying 3(2 + 3x) + -4(5 + -3x) = 28 (2 * 3 + 3x * 3) + -4(5 + -3x) = 28 (6 + 9x) + -4(5 + -3x) = 28 6 + 9x + (5 * -4 + -3x * -4) = 28 6 + 9x + (-20 + 12x) = 28 Reorder the terms: 6 + -20 + 9x + 12x = 28 Combine like terms: 6 + -20 = -14 -14 + 9x + 12x = 28 Combine like terms: 9x + 12x = 21x -14 + 21x = 28 Solving -14 + 21x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 21x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + 21x = 28 + 14 21x = 28 + 14 Combine like terms: 28 + 14 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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