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Simplifying 5(3x + -1) + -2(x + -4) = 0 Reorder the terms: 5(-1 + 3x) + -2(x + -4) = 0 (-1 * 5 + 3x * 5) + -2(x + -4) = 0 (-5 + 15x) + -2(x + -4) = 0 Reorder the terms: -5 + 15x + -2(-4 + x) = 0 -5 + 15x + (-4 * -2 + x * -2) = 0 -5 + 15x + (8 + -2x) = 0 Reorder the terms: -5 + 8 + 15x + -2x = 0 Combine like terms: -5 + 8 = 3 3 + 15x + -2x = 0 Combine like terms: 15x + -2x = 13x 3 + 13x = 0 Solving 3 + 13x = 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 + 13x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 0 + -3 13x = 0 + -3 Combine like terms: 0 + -3 = -3 13x = -3 Divide each side by '13'. x = -0.2307692308 Simplifying x = -0.2307692308
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