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Simplifying 5(3x + -1) + -1(7 + 3x) = 0 Reorder the terms: 5(-1 + 3x) + -1(7 + 3x) = 0 (-1 * 5 + 3x * 5) + -1(7 + 3x) = 0 (-5 + 15x) + -1(7 + 3x) = 0 -5 + 15x + (7 * -1 + 3x * -1) = 0 -5 + 15x + (-7 + -3x) = 0 Reorder the terms: -5 + -7 + 15x + -3x = 0 Combine like terms: -5 + -7 = -12 -12 + 15x + -3x = 0 Combine like terms: 15x + -3x = 12x -12 + 12x = 0 Solving -12 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 12x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 0 + 12 12x = 0 + 12 Combine like terms: 0 + 12 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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