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Simplifying 5(3x + -1) + -4(3x + -2) = 0 Reorder the terms: 5(-1 + 3x) + -4(3x + -2) = 0 (-1 * 5 + 3x * 5) + -4(3x + -2) = 0 (-5 + 15x) + -4(3x + -2) = 0 Reorder the terms: -5 + 15x + -4(-2 + 3x) = 0 -5 + 15x + (-2 * -4 + 3x * -4) = 0 -5 + 15x + (8 + -12x) = 0 Reorder the terms: -5 + 8 + 15x + -12x = 0 Combine like terms: -5 + 8 = 3 3 + 15x + -12x = 0 Combine like terms: 15x + -12x = 3x 3 + 3x = 0 Solving 3 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 0 + -3 3x = 0 + -3 Combine like terms: 0 + -3 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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