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Simplifying 6(3x + -7) + -5 = 6(X + -2) + 37 Reorder the terms: 6(-7 + 3x) + -5 = 6(X + -2) + 37 (-7 * 6 + 3x * 6) + -5 = 6(X + -2) + 37 (-42 + 18x) + -5 = 6(X + -2) + 37 Reorder the terms: -42 + -5 + 18x = 6(X + -2) + 37 Combine like terms: -42 + -5 = -47 -47 + 18x = 6(X + -2) + 37 Reorder the terms: -47 + 18x = 6(-2 + X) + 37 -47 + 18x = (-2 * 6 + X * 6) + 37 -47 + 18x = (-12 + 6X) + 37 Reorder the terms: -47 + 18x = -12 + 37 + 6X Combine like terms: -12 + 37 = 25 -47 + 18x = 25 + 6X Solving -47 + 18x = 25 + 6X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 18x = 25 + 47 + 6X Combine like terms: -47 + 47 = 0 0 + 18x = 25 + 47 + 6X 18x = 25 + 47 + 6X Combine like terms: 25 + 47 = 72 18x = 72 + 6X Divide each side by '18'. x = 4 + 0.3333333333X Simplifying x = 4 + 0.3333333333X
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