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Simplifying 4(3x + -5) + 3(2 + -3x) = 1 Reorder the terms: 4(-5 + 3x) + 3(2 + -3x) = 1 (-5 * 4 + 3x * 4) + 3(2 + -3x) = 1 (-20 + 12x) + 3(2 + -3x) = 1 -20 + 12x + (2 * 3 + -3x * 3) = 1 -20 + 12x + (6 + -9x) = 1 Reorder the terms: -20 + 6 + 12x + -9x = 1 Combine like terms: -20 + 6 = -14 -14 + 12x + -9x = 1 Combine like terms: 12x + -9x = 3x -14 + 3x = 1 Solving -14 + 3x = 1 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 + 3x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 1 + 14 3x = 1 + 14 Combine like terms: 1 + 14 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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