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Simplifying 6(3x + -7) + -6 = 6(X + -4) Reorder the terms: 6(-7 + 3x) + -6 = 6(X + -4) (-7 * 6 + 3x * 6) + -6 = 6(X + -4) (-42 + 18x) + -6 = 6(X + -4) Reorder the terms: -42 + -6 + 18x = 6(X + -4) Combine like terms: -42 + -6 = -48 -48 + 18x = 6(X + -4) Reorder the terms: -48 + 18x = 6(-4 + X) -48 + 18x = (-4 * 6 + X * 6) -48 + 18x = (-24 + 6X) Solving -48 + 18x = -24 + 6X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 18x = -24 + 48 + 6X Combine like terms: -48 + 48 = 0 0 + 18x = -24 + 48 + 6X 18x = -24 + 48 + 6X Combine like terms: -24 + 48 = 24 18x = 24 + 6X Divide each side by '18'. x = 1.333333333 + 0.3333333333X Simplifying x = 1.333333333 + 0.3333333333X
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