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Simplifying 7(3x + -5) + -3(3x + 4) = 25 Reorder the terms: 7(-5 + 3x) + -3(3x + 4) = 25 (-5 * 7 + 3x * 7) + -3(3x + 4) = 25 (-35 + 21x) + -3(3x + 4) = 25 Reorder the terms: -35 + 21x + -3(4 + 3x) = 25 -35 + 21x + (4 * -3 + 3x * -3) = 25 -35 + 21x + (-12 + -9x) = 25 Reorder the terms: -35 + -12 + 21x + -9x = 25 Combine like terms: -35 + -12 = -47 -47 + 21x + -9x = 25 Combine like terms: 21x + -9x = 12x -47 + 12x = 25 Solving -47 + 12x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 12x = 25 + 47 Combine like terms: -47 + 47 = 0 0 + 12x = 25 + 47 12x = 25 + 47 Combine like terms: 25 + 47 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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