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Simplifying 6(x + -1) + -3(x + -4) = 0 Reorder the terms: 6(-1 + x) + -3(x + -4) = 0 (-1 * 6 + x * 6) + -3(x + -4) = 0 (-6 + 6x) + -3(x + -4) = 0 Reorder the terms: -6 + 6x + -3(-4 + x) = 0 -6 + 6x + (-4 * -3 + x * -3) = 0 -6 + 6x + (12 + -3x) = 0 Reorder the terms: -6 + 12 + 6x + -3x = 0 Combine like terms: -6 + 12 = 6 6 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x 6 + 3x = 0 Solving 6 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 0 + -6 3x = 0 + -6 Combine like terms: 0 + -6 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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