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Simplifying 6(X + -6) + 18 = 3(X + -4) Reorder the terms: 6(-6 + X) + 18 = 3(X + -4) (-6 * 6 + X * 6) + 18 = 3(X + -4) (-36 + 6X) + 18 = 3(X + -4) Reorder the terms: -36 + 18 + 6X = 3(X + -4) Combine like terms: -36 + 18 = -18 -18 + 6X = 3(X + -4) Reorder the terms: -18 + 6X = 3(-4 + X) -18 + 6X = (-4 * 3 + X * 3) -18 + 6X = (-12 + 3X) Solving -18 + 6X = -12 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -18 + 6X + -3X = -12 + 3X + -3X Combine like terms: 6X + -3X = 3X -18 + 3X = -12 + 3X + -3X Combine like terms: 3X + -3X = 0 -18 + 3X = -12 + 0 -18 + 3X = -12 Add '18' to each side of the equation. -18 + 18 + 3X = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 3X = -12 + 18 3X = -12 + 18 Combine like terms: -12 + 18 = 6 3X = 6 Divide each side by '3'. X = 2 Simplifying X = 2
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