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Simplifying 4(x + -6) + -1(x + -3) = 0 Reorder the terms: 4(-6 + x) + -1(x + -3) = 0 (-6 * 4 + x * 4) + -1(x + -3) = 0 (-24 + 4x) + -1(x + -3) = 0 Reorder the terms: -24 + 4x + -1(-3 + x) = 0 -24 + 4x + (-3 * -1 + x * -1) = 0 -24 + 4x + (3 + -1x) = 0 Reorder the terms: -24 + 3 + 4x + -1x = 0 Combine like terms: -24 + 3 = -21 -21 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x -21 + 3x = 0 Solving -21 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 3x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 0 + 21 3x = 0 + 21 Combine like terms: 0 + 21 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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