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Simplifying 4(x + -3) + -1(x + -6) = 6 Reorder the terms: 4(-3 + x) + -1(x + -6) = 6 (-3 * 4 + x * 4) + -1(x + -6) = 6 (-12 + 4x) + -1(x + -6) = 6 Reorder the terms: -12 + 4x + -1(-6 + x) = 6 -12 + 4x + (-6 * -1 + x * -1) = 6 -12 + 4x + (6 + -1x) = 6 Reorder the terms: -12 + 6 + 4x + -1x = 6 Combine like terms: -12 + 6 = -6 -6 + 4x + -1x = 6 Combine like terms: 4x + -1x = 3x -6 + 3x = 6 Solving -6 + 3x = 6 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 = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 6 + 6 3x = 6 + 6 Combine like terms: 6 + 6 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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