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Simplifying 6(X + -3) = 7(X + -20) Reorder the terms: 6(-3 + X) = 7(X + -20) (-3 * 6 + X * 6) = 7(X + -20) (-18 + 6X) = 7(X + -20) Reorder the terms: -18 + 6X = 7(-20 + X) -18 + 6X = (-20 * 7 + X * 7) -18 + 6X = (-140 + 7X) Solving -18 + 6X = -140 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -18 + 6X + -7X = -140 + 7X + -7X Combine like terms: 6X + -7X = -1X -18 + -1X = -140 + 7X + -7X Combine like terms: 7X + -7X = 0 -18 + -1X = -140 + 0 -18 + -1X = -140 Add '18' to each side of the equation. -18 + 18 + -1X = -140 + 18 Combine like terms: -18 + 18 = 0 0 + -1X = -140 + 18 -1X = -140 + 18 Combine like terms: -140 + 18 = -122 -1X = -122 Divide each side by '-1'. X = 122 Simplifying X = 122
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