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Simplifying 6(X + -2) + X = 7(X + -3) + 9 Reorder the terms: 6(-2 + X) + X = 7(X + -3) + 9 (-2 * 6 + X * 6) + X = 7(X + -3) + 9 (-12 + 6X) + X = 7(X + -3) + 9 Combine like terms: 6X + X = 7X -12 + 7X = 7(X + -3) + 9 Reorder the terms: -12 + 7X = 7(-3 + X) + 9 -12 + 7X = (-3 * 7 + X * 7) + 9 -12 + 7X = (-21 + 7X) + 9 Reorder the terms: -12 + 7X = -21 + 9 + 7X Combine like terms: -21 + 9 = -12 -12 + 7X = -12 + 7X Add '12' to each side of the equation. -12 + 12 + 7X = -12 + 12 + 7X Combine like terms: -12 + 12 = 0 0 + 7X = -12 + 12 + 7X 7X = -12 + 12 + 7X Combine like terms: -12 + 12 = 0 7X = 0 + 7X 7X = 7X Add '-7X' to each side of the equation. 7X + -7X = 7X + -7X Combine like terms: 7X + -7X = 0 0 = 7X + -7X Combine like terms: 7X + -7X = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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