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Simplifying 4(x + -3) + -1(x + 6) = 0 Reorder the terms: 4(-3 + x) + -1(x + 6) = 0 (-3 * 4 + x * 4) + -1(x + 6) = 0 (-12 + 4x) + -1(x + 6) = 0 Reorder the terms: -12 + 4x + -1(6 + x) = 0 -12 + 4x + (6 * -1 + x * -1) = 0 -12 + 4x + (-6 + -1x) = 0 Reorder the terms: -12 + -6 + 4x + -1x = 0 Combine like terms: -12 + -6 = -18 -18 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x -18 + 3x = 0 Solving -18 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 0 + 18 3x = 0 + 18 Combine like terms: 0 + 18 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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